dari rumus sin²α + cos²α =1, buktikan bahwa 1 + cot²α = cosec²α
Matematika
vangkee21
Pertanyaan
dari rumus sin²α + cos²α =1, buktikan bahwa 1 + cot²α = cosec²α
1 Jawaban
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1. Jawaban Kilos
1 + cot²α = sin²α + cos²a + cos²α/sin²α
= sin²α(sin²α + cos²a)/sin²α + cos²α/sin²α
= (sin²α.sin²α + sin²α.cos²α + cos²α)/sin²α
= (sin²α(sin²α + cos²α) + cos²α)/sin²α
= (sin²α(1) + cos²α)/sin²α
= (sin²α + cos²α)/sin²α
= 1/sin²α
= cosec²α