{"id":842,"date":"2026-07-17T15:55:29","date_gmt":"2026-07-17T08:55:29","guid":{"rendered":"https:\/\/www.itera.ac.id\/blog\/?p=842"},"modified":"2026-07-17T13:09:54","modified_gmt":"2026-07-17T06:09:54","slug":"contoh-soal-trigonometri","status":"publish","type":"post","link":"https:\/\/www.itera.ac.id\/blog\/contoh-soal-trigonometri\/","title":{"rendered":"30 Contoh Soal Trigonometri dan Pembahasannya Lengkap 2026"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Trigonometri merupakan salah satu materi penting dalam matematika yang mempelajari hubungan antara sudut dan sisi pada segitiga, terutama segitiga siku-siku. Materi ini banyak digunakan dalam berbagai bidang seperti fisika, teknik, arsitektur, hingga pengukuran jarak dan tinggi suatu objek.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dalam mempelajari trigonometri, peserta didik perlu memahami konsep dasar seperti sinus (sin), cosinus (cos), tangen (tan), serta nilai sudut istimewa. Selain itu, kemampuan menggunakan rumus dan memahami perbandingan sisi pada segitiga sangat diperlukan agar dapat menyelesaikan berbagai jenis soal trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Artikel ini menyediakan <strong>30 contoh soal trigonometri lengkap dengan jawaban dan pembahasan terbaru 2026<\/strong> yang dapat digunakan sebagai bahan latihan bagi siswa SMA. Soal disusun dengan tingkat kesulitan yang bervariasi, mulai dari konsep dasar hingga soal penerapan trigonometri dalam kehidupan sehari-hari.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 1<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari sin 30\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. \u221a2\/2<br>D. \u221a3\/2<br>E. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Salah satu nilai sudut istimewa dalam trigonometri adalah:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 = <strong>1\/2<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena nilai sin 0\u00b0 adalah 0.<br>Pilihan C salah karena nilai tersebut merupakan cos 45\u00b0.<br>Pilihan D salah karena nilai tersebut merupakan cos 30\u00b0.<br>Pilihan E salah karena nilai sin 90\u00b0 adalah 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami nilai perbandingan trigonometri pada sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai sinus dari sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C1 (Mengingat)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 2<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari cos 60\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. \u221a2\/2<br>D. \u221a3\/2<br>E. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Berdasarkan tabel nilai sudut istimewa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 60\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 60\u00b0 = <strong>1\/2<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena cos 90\u00b0 = 0.<br>Pilihan C salah karena cos 45\u00b0 = \u221a2\/2.<br>Pilihan D salah karena cos 30\u00b0 = \u221a3\/2.<br>Pilihan E salah karena cos 0\u00b0 = 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami nilai cosinus pada sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai cosinus dari sudut tertentu.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C1 (Mengingat)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 3<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari tan 45\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. 1<br>D. \u221a2<br>E. \u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pada sudut istimewa berlaku:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 45\u00b0 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hal ini karena:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = sisi depan \/ sisi samping<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pada sudut 45\u00b0, panjang sisi depan dan sisi samping sama, sehingga:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 45\u00b0 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 45\u00b0 = <strong>1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena tan 0\u00b0 = 0.<br>Pilihan B salah karena bukan nilai tan 45\u00b0.<br>Pilihan D dan E salah karena merupakan nilai lain pada sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami konsep dasar nilai tangen sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai tangen pada sudut tertentu.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C1 (Mengingat)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 4<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah segitiga siku-siku memiliki sisi depan sudut \u03b8 sepanjang 6 cm dan sisi miring sepanjang 10 cm. Nilai sin \u03b8 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<br>B. 5\/3<br>C. 2\/5<br>D. 4\/5<br>E. 5\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rumus sinus:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = sisi depan \/ sisi miring<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sisi depan = 6 cm<br>Sisi miring = 10 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 6\/10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sederhanakan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = <strong>3\/5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan B salah karena membalik posisi pembilang dan penyebut.<br>Pilihan C dan D salah karena hasil penyederhanaan tidak sesuai.<br>Pilihan E salah karena nilai sinus tidak boleh lebih dari 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami perbandingan sisi dalam trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai sinus berdasarkan panjang sisi segitiga siku-siku.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui sebuah segitiga siku-siku memiliki sisi samping sudut \u03b8 sebesar 8 cm dan sisi miring sebesar 10 cm. Nilai cos \u03b8 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 2\/5<br>B. 3\/5<br>C. 4\/5<br>D. 5\/4<br>E. 5\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 4\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rumus cosinus:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = sisi samping \/ sisi miring<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sisi samping = 8 cm<br>Sisi miring = 10 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = 8\/10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sederhanakan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = 4\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = <strong>4\/5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A dan B salah karena hasil perbandingan tidak sesuai.<br>Pilihan D dan E salah karena nilai cosinus tidak boleh lebih dari 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami konsep perbandingan cosinus pada segitiga siku-siku.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai cosinus berdasarkan panjang sisi segitiga.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 6<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari sin 90\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. \u221a2\/2<br>D. \u221a3\/2<br>E. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Berdasarkan nilai sudut istimewa dalam trigonometri:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 90\u00b0 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 90\u00b0 = <strong>1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena sin 0\u00b0 = 0.<br>Pilihan B, C, dan D salah karena merupakan nilai sinus pada sudut istimewa lainnya.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami nilai sinus pada sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai sinus dari sudut tertentu.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C1 (Mengingat)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 7<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari cos 0\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. \u221a2\/2<br>D. \u221a3\/2<br>E. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pada sudut istimewa berlaku:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 0\u00b0 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 0\u00b0 = <strong>1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena cos 90\u00b0 = 0.<br>Pilihan B, C, dan D salah karena merupakan nilai cos pada sudut lainnya.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami nilai cosinus pada sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai cosinus dari sudut tertentu.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C1 (Mengingat)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 8<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari tan 60\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/\u221a3<br>C. 1<br>D. \u221a3<br>E. 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. \u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Berdasarkan tabel sudut istimewa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 60\u00b0 = \u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 60\u00b0 = <strong>\u221a3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena tan 0\u00b0 = 0.<br>Pilihan B salah karena nilai tersebut merupakan tan 30\u00b0.<br>Pilihan C salah karena tan 45\u00b0 = 1.<br>Pilihan E salah karena bukan nilai tan 60\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami nilai tangen pada sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai tangen dari sudut tertentu.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C1 (Mengingat)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 9<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jika sin \u03b8 = 3\/5 dan \u03b8 merupakan sudut lancip, maka nilai cos \u03b8 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<br>B. 4\/5<br>C. 5\/3<br>D. 5\/4<br>E. 2\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 4\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan identitas trigonometri:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 \u03b8 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(3\/5)\u00b2 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">9\/25 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos\u00b2 \u03b8 = 16\/25<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = \u221a16\/25<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = 4\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Karena \u03b8 adalah sudut lancip, nilai cos bernilai positif.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = <strong>4\/5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena merupakan nilai sin \u03b8.<br>Pilihan C dan D salah karena nilai perbandingan terbalik.<br>Pilihan E salah karena hasil perhitungan tidak sesuai.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami hubungan antarperbandingan trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai cosinus berdasarkan nilai sinus.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 10<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jika cos \u03b8 = 12\/13, maka nilai sin \u03b8 untuk sudut lancip adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5\/13<br>B. 12\/13<br>C. 13\/5<br>D. 1\/13<br>E. 25\/13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5\/13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan identitas:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 \u03b8 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = 12\/13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 \u03b8 + (12\/13)\u00b2 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 \u03b8 + 144\/169 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 \u03b8 = 25\/169<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 5\/13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Karena \u03b8 sudut lancip, maka nilai sinus positif.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = <strong>5\/13<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan B salah karena merupakan nilai cos \u03b8.<br>Pilihan C, D, dan E salah karena tidak sesuai dengan hasil perhitungan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami identitas dasar trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai sinus berdasarkan nilai cosinus.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 11<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah tangga panjangnya 5 meter disandarkan pada dinding. Jika jarak kaki tangga ke dinding 3 meter, maka nilai cos sudut antara tangga dan lantai adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<br>B. 4\/5<br>C. 5\/3<br>D. 2\/5<br>E. 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan rumus:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = sisi samping \/ sisi miring<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sisi samping = jarak kaki tangga ke dinding = 3 meter<br>Sisi miring = panjang tangga = 5 meter<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = <strong>3\/5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan B salah karena merupakan nilai jika sisi samping 4 meter.<br>Pilihan C salah karena perbandingan terbalik.<br>Pilihan D dan E salah karena tidak sesuai perhitungan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menerapkan konsep cosinus dalam kehidupan sehari-hari.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai trigonometri dari permasalahan kontekstual.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 12<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 + cos 60\u00b0 = &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. 1<br>D. 3\/2<br>E. 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 60\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 + cos 60\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 1\/2 + 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 + cos 60\u00b0 = <strong>1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A dan B salah karena hasil penjumlahan tidak tepat.<br>Pilihan D dan E salah karena melebihi hasil sebenarnya.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami operasi hitung nilai trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menjumlahkan nilai perbandingan trigonometri sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 13<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 45\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. \u221a2\/2<br>D. \u221a3\/2<br>E. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. \u221a2\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pada sudut istimewa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 45\u00b0 = \u221a2\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 45\u00b0 = <strong>\u221a2\/2<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A, B, D, dan E salah karena merupakan nilai cos pada sudut istimewa lainnya.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami nilai cosinus sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu mengingat nilai trigonometri dasar.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C1 (Mengingat)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 14<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jika tan \u03b8 = 4\/3, maka perbandingan sisi depan dan sisi samping adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3 : 4<br>B. 4 : 3<br>C. 4 : 7<br>D. 7 : 3<br>E. 3 : 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 4 : 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rumus tangen:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = sisi depan \/ sisi samping<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = 4\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sisi depan : sisi samping = 4 : 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi jawabannya adalah <strong>4 : 3<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena urutannya terbalik.<br>Pilihan C, D, dan E salah karena bukan perbandingan yang sesuai.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami konsep dasar perbandingan tangen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan perbandingan sisi berdasarkan nilai tangen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 15<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 30\u00b0 + cos\u00b2 30\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. 1<br>D. \u221a2<br>E. 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan identitas dasar trigonometri:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 \u03b8 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Untuk \u03b8 = 30\u00b0:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 30\u00b0 + cos\u00b2 30\u00b0 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 30\u00b0 + cos\u00b2 30\u00b0 = <strong>1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A, B, D, dan E salah karena tidak sesuai dengan identitas trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami identitas dasar trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menerapkan identitas trigonometri dalam penyelesaian soal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 16<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 30\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 1<br>B. \u221a3<br>C. \u221a3\/3<br>D. 1\/2<br>E. 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. \u221a3\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Berdasarkan nilai sudut istimewa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 30\u00b0 = \u221a3\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 30\u00b0 = <strong>\u221a3\/3<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena tan 45\u00b0 = 1.<br>Pilihan B salah karena tan 60\u00b0 = \u221a3.<br>Pilihan D dan E salah karena bukan nilai tan 30\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami nilai tangen pada sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai tangen dari sudut tertentu.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C1 (Mengingat)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 17<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui segitiga siku-siku memiliki sisi depan sudut \u03b8 sebesar 12 cm dan sisi samping sebesar 5 cm. Nilai tan \u03b8 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5\/12<br>B. 12\/5<br>C. 13\/5<br>D. 5\/13<br>E. 12\/13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 12\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rumus tangen:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = sisi depan \/ sisi samping<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sisi depan = 12 cm<br>Sisi samping = 5 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = 12\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = <strong>12\/5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena perbandingan terbalik.<br>Pilihan C, D, dan E salah karena menggunakan sisi miring dalam perhitungan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami perbandingan sisi pada fungsi tangen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai tangen berdasarkan panjang sisi segitiga.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 18<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jika sin \u03b8 = 5\/13, maka nilai cos \u03b8 untuk sudut lancip adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5\/12<br>B. 12\/13<br>C. 13\/12<br>D. 8\/13<br>E. 13\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 12\/13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan identitas:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 \u03b8 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 5\/13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(5\/13)\u00b2 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">25\/169 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos\u00b2 \u03b8 = 144\/169<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = 12\/13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Karena \u03b8 merupakan sudut lancip, nilai cos positif.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos \u03b8 = <strong>12\/13<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena bukan hasil perhitungan.<br>Pilihan C dan E salah karena nilainya lebih dari 1.<br>Pilihan D salah karena tidak sesuai hasil.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami hubungan sinus dan cosinus.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai cosinus berdasarkan nilai sinus.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 19<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 45\u00b0 \u00d7 cos 45\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/4<br>C. 1\/2<br>D. \u221a2<br>E. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 45\u00b0 = \u221a2\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 45\u00b0 = \u221a2\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 45\u00b0 \u00d7 cos 45\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (\u221a2\/2) \u00d7 (\u221a2\/2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 2\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 45\u00b0 \u00d7 cos 45\u00b0 = <strong>1\/2<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A, B, D, dan E salah karena hasil perkalian tidak sesuai.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami operasi perkalian nilai trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung hasil operasi nilai sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 20<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah tiang memiliki bayangan sepanjang 10 meter. Jika sudut elevasi matahari 45\u00b0, maka tinggi tiang tersebut adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 5 meter<br>B. 10 meter<br>C. 15 meter<br>D. 20 meter<br>E. 25 meter<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 10 meter<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan rumus tangen:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = tinggi tiang \/ panjang bayangan<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u03b8 = 45\u00b0<br>tan 45\u00b0 = 1<br>Panjang bayangan = 10 meter<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 = tinggi tiang \/ 10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tinggi tiang = 10 meter<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi tinggi tiang adalah <strong>10 meter<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A, C, D, dan E salah karena tidak sesuai dengan perbandingan tangen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menerapkan konsep trigonometri dalam kehidupan sehari-hari.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menggunakan fungsi tangen untuk menentukan tinggi suatu objek.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 21<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos\u00b2 60\u00b0 + sin\u00b2 60\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0<br>B. 1\/2<br>C. 1<br>D. \u221a3<br>E. 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan identitas dasar trigonometri:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2 \u03b8 + cos\u00b2 \u03b8 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos\u00b2 60\u00b0 + sin\u00b2 60\u00b0 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A, B, D, dan E salah karena tidak sesuai dengan identitas trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami identitas dasar trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menerapkan identitas trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 22<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jika sebuah segitiga siku-siku memiliki sisi miring 15 cm dan sisi depan sudut \u03b8 sebesar 9 cm, maka nilai sin \u03b8 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<br>B. 5\/3<br>C. 9\/15<br>D. 15\/9<br>E. 2\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rumus:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = sisi depan \/ sisi miring<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 9\/15<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sederhanakan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = <strong>3\/5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan B dan D salah karena perbandingan terbalik.<br>Pilihan C belum disederhanakan.<br>Pilihan E salah karena hasil tidak sesuai.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami konsep sinus pada segitiga siku-siku.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai sinus berdasarkan panjang sisi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 23<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 \u00d7 cos 60\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 1\/4<br>B. 1\/2<br>C. 3\/4<br>D. 1<br>E. 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 1\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 60\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1\/2 \u00d7 1\/2 = 1\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 \u00d7 cos 60\u00b0 = <strong>1\/4<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan B, C, D, dan E salah karena hasil perkalian tidak tepat.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami operasi perkalian nilai trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung hasil perkalian fungsi trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 24<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui tan \u03b8 = 3\/4. Nilai sin \u03b8 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<br>B. 4\/5<br>C. 5\/3<br>D. 4\/3<br>E. 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = sisi depan \/ sisi samping = 3\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan segitiga siku-siku:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sisi depan = 3<br>Sisi samping = 4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka sisi miring:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u221a(3\u00b2 + 4\u00b2) = \u221a25 = 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rumus sinus:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = sisi depan \/ sisi miring<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = <strong>3\/5<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan B salah karena merupakan nilai cos \u03b8.<br>Pilihan C dan D salah karena hasil lebih dari 1.<br>Pilihan E salah karena tidak sesuai.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami hubungan antarperbandingan trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai sinus dari nilai tangen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 25<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah pohon memiliki tinggi 12 meter. Jarak pengamat ke pohon adalah 12\u221a3 meter. Besar sudut elevasi pengamat terhadap puncak pohon adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 30\u00b0<br>B. 45\u00b0<br>C. 60\u00b0<br>D. 90\u00b0<br>E. 120\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 30\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan rumus:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = tinggi \/ jarak<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = 12 \/ 12\u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 1\/\u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 30\u00b0 = 1\/\u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u03b8 = <strong>30\u00b0<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan B, C, D, dan E salah karena tidak sesuai dengan nilai tangen yang diperoleh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menerapkan konsep trigonometri dalam masalah kontekstual.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan besar sudut berdasarkan nilai perbandingan trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 26<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 sin 30\u00b0 + cos 60\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 1\/2<br>B. 1<br>C. 3\/2<br>D. 2<br>E. 5\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 3\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">cos 60\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 sin 30\u00b0 + cos 60\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 2(1\/2) + 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 1 + 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 3\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 sin 30\u00b0 + cos 60\u00b0 = <strong>3\/2<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A dan B salah karena belum melakukan perhitungan dengan benar.<br>Pilihan D dan E salah karena hasil tidak sesuai.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami operasi hitung pada nilai trigonometri sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menyelesaikan operasi penjumlahan dan perkalian nilai trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 27<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui sebuah segitiga siku-siku memiliki sisi miring 17 cm dan sisi samping sudut \u03b8 sebesar 8 cm. Nilai sin \u03b8 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 8\/17<br>B. 15\/17<br>C. 17\/8<br>D. 9\/17<br>E. 15\/8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 15\/17<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sisi miring = 17 cm<br>Sisi samping = 8 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cari sisi depan menggunakan teorema Pythagoras:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sisi depan\u00b2 = 17\u00b2 &#8211; 8\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 289 &#8211; 64<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 225<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sisi depan = 15<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Rumus sinus:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = sisi depan \/ sisi miring<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 15\/17<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = <strong>15\/17<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena merupakan perbandingan sisi samping dengan sisi miring.<br>Pilihan C dan E salah karena nilai lebih dari 1.<br>Pilihan D salah karena hasil sisi depan tidak tepat.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menghubungkan konsep trigonometri dengan teorema Pythagoras.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan nilai sinus dengan mencari panjang sisi segitiga.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sulit<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">4 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 28<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jika sin \u03b8 = 1\/2 dan \u03b8 merupakan sudut lancip, maka besar sudut \u03b8 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 0\u00b0<br>B. 30\u00b0<br>C. 45\u00b0<br>D. 60\u00b0<br>E. 90\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 30\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Berdasarkan nilai sudut istimewa:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Karena:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin \u03b8 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u03b8 = 30\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi besar sudut \u03b8 adalah <strong>30\u00b0<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena sin 0\u00b0 = 0.<br>Pilihan C salah karena sin 45\u00b0 = \u221a2\/2.<br>Pilihan D salah karena sin 60\u00b0 = \u221a3\/2.<br>Pilihan E salah karena sin 90\u00b0 = 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami hubungan nilai trigonometri dengan besar sudut.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan besar sudut berdasarkan nilai sinus.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2 (Memahami)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 29<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nilai dari:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 45\u00b0 + sin 30\u00b0 adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 1\/2<br>B. 1<br>C. 3\/2<br>D. 2<br>E. 5\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. 3\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 45\u00b0 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">sin 30\u00b0 = 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 45\u00b0 + sin 30\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 1 + 1\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 3\/2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 45\u00b0 + sin 30\u00b0 = <strong>3\/2<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A dan B salah karena hasil penjumlahan tidak tepat.<br>Pilihan D dan E salah karena nilainya terlalu besar.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Memahami operasi penjumlahan fungsi trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung operasi nilai trigonometri sudut istimewa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 30<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pertanyaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah pesawat melihat sebuah landasan dari ketinggian 500 meter. Jarak mendatar pesawat dengan titik di bawahnya adalah 500\u221a3 meter. Besar sudut depresi pesawat terhadap landasan adalah &#8230;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pilihan Jawaban<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 15\u00b0<br>B. 30\u00b0<br>C. 45\u00b0<br>D. 60\u00b0<br>E. 90\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Jawaban Benar<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. 30\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Pembahasan Lengkap<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan rumus tangen:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = tinggi \/ jarak mendatar<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan \u03b8 = 500 \/ 500\u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 1\/\u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diketahui:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">tan 30\u00b0 = 1\/\u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u03b8 = 30\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi besar sudut depresi pesawat adalah <strong>30\u00b0<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan A salah karena nilainya lebih kecil dari hasil perhitungan.<br>Pilihan C salah karena tan 45\u00b0 = 1.<br>Pilihan D dan E salah karena tidak sesuai dengan nilai tangen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menerapkan konsep trigonometri dalam permasalahan nyata.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan sudut berdasarkan perbandingan trigonometri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Kesimpulan<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Trigonometri merupakan materi matematika yang mempelajari hubungan antara sudut dan sisi pada segitiga. Konsep dasar seperti sinus (sin), cosinus (cos), dan tangen (tan) menjadi dasar untuk menyelesaikan berbagai permasalahan matematika maupun penerapan dalam kehidupan sehari-hari.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Melalui <strong>30 contoh soal trigonometri dan pembahasannya lengkap terbaru 2026<\/strong>, peserta didik dapat memahami nilai sudut istimewa, perbandingan sisi segitiga siku-siku, identitas trigonometri, hingga penerapan trigonometri dalam berbagai situasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dengan memahami rumus dan konsep dasar trigonometri, siswa akan lebih mudah mengerjakan soal matematika tingkat SMA serta meningkatkan kemampuan berpikir logis dalam menyelesaikan masalah. Latihan secara rutin juga akan membantu memperkuat pemahaman dan meningkatkan hasil belajar.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Trigonometri merupakan salah satu materi penting dalam matematika yang mempelajari hubungan antara sudut dan sisi pada segitiga, terutama segitiga siku-siku.&hellip;<\/p>\n","protected":false},"author":3,"featured_media":846,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-842","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pendidikan"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>30 Contoh Soal Trigonometri dan Pembahasannya Lengkap 2026<\/title>\n<meta name=\"description\" content=\"Kumpulan 30 contoh soal trigonometri lengkap dengan jawaban dan pembahasan terbaru 2026 untuk latihan 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