Matematika

Pertanyaan

1 . Sin^2x / 1 - cos x =
2. 1 - cos x / sin x + sin x / 1 - cos x
Bantu jawab dong please

1 Jawaban

  • 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

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