Menghitung Nilai Sinus Dari Selisih Dua Sudut

4

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Dalam matematika, terdapat berbagai macam rumus dan identitas trigonometri yang digunakan untuk menghitung nilai-nilai trigonometri dari sudut-sudut tertentu. Salah satu rumus yang sering digunakan adalah rumus sinus dari selisih dua sudut. Dalam artikel ini, kita akan membahas bagaimana menghitung nilai sinus dari selisih dua sudut dengan menggunakan informasi tentang nilai cosinus dan cotangen dari sudut-sudut tersebut. Pertama, mari kita lihat informasi yang diberikan dalam soal ini. Diketahui bahwa nilai cosinus sudut A adalah 3/5 dan cotangen sudut B adalah 5/12. Sudut A dikatakan lancip, sedangkan sudut B dikatakan tumpul. Kita diminta untuk mencari nilai sinus dari selisih dua sudut, yaitu sin(A-B). Untuk menghitung nilai sin(A-B), kita dapat menggunakan rumus sinus dari selisih dua sudut, yaitu sin(A-B) = sinA*cosB - cosA*sinB. Dalam rumus ini, kita perlu mengetahui nilai sinA dan sinB. Untuk mencari nilai sinA, kita dapat menggunakan rumus Pythagoras, yaitu sinA = sqrt(1 - cos^2A). Dalam kasus ini, kita sudah mengetahui nilai cosA, yaitu 3/5. Dengan menggunakan rumus Pythagoras, kita dapat menghitung nilai sinA sebagai berikut: sinA = sqrt(1 - (3/5)^2) = sqrt(1 - 9/25) = sqrt(16/25) = 4/5 Selanjutnya, untuk mencari nilai sinB, kita dapat menggunakan rumus cotangen, yaitu cotB = cosB/sinB. Dalam kasus ini, kita sudah mengetahui nilai cotB, yaitu 5/12. Dengan menggunakan rumus cotangen, kita dapat menghitung nilai sinB sebagai berikut: cotB = cosB/sinB 5/12 = (3/5)/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 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5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 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5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/12 = 3/5 * 1/sinB 5/