1 . Sin^2x / 1 - cos x = 2. 1 - cos x / sin x + sin x / 1 - cos x Bantu jawab dong please
Matematika
Fahrulrizall7
Pertanyaan
1 . Sin^2x / 1 - cos x =
2. 1 - cos x / sin x + sin x / 1 - cos x
Bantu jawab dong please
2. 1 - cos x / sin x + sin x / 1 - cos x
Bantu jawab dong please
1 Jawaban
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1. Jawaban Robinn
1.
sin²x / 1-cosx
= (1 - cos²x) / 1 - cosx
= (1 - cosx)(1 + cosx) / (1 - cosx)
= 1 + cosx
2.
[(1 - cosx) / sinx] + [sinx / (1 - cosx)]
= (1 - cosx)(1 - cosx) + sin²x / sinx (1 - cosx)
= (1 - cosx)² + sin²x / sinx (1 - cosx)
= sin²x + sin²x / sinx (1 - cosx)
= 2sin²x / sinx (1 - cosx)
= 2sinx / 1-cosx