Jawablah identitas trigonometri berikut Sec2 α + cosec α = 1/sin2 α cos2 α
Matematika
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Pertanyaan
Jawablah identitas trigonometri berikut
Sec2 α + cosec α = 1/sin2 α cos2 α
Sec2 α + cosec α = 1/sin2 α cos2 α
1 Jawaban
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1. Jawaban bapakdr
sec²a + cosec²a
= 1 / cos²a + 1 / sin²a
= sin²a/sin²a.cos²a + cos²a/sin²a.cos²a
= (sin²a + cos²a) / sin²a.cos²a
= 1 / sin²a.cos²a