Matematika

Pertanyaan

bentuk sin c/1+cos c + sinc/1-cos c ekuivalen dengan..

2 Jawaban

  • = {sin c(1-cos c) + sin c(1+cos c)} / 1 - cos²c
    = (sin c - sin c cos c + sin c + sin c cos c) / sin²c
    = 2 sin c / sin²c
    = 2 / sin c
  • (sin c)/(1 + cos c) + (sin c)/(1 - cos c)
    = (sin c (1 - cos c) + sin c (1 + cos c))/(1 + cos c)(1 - cos c)
    = (sin c - sin c cos c + sin c + sin c cos c) / (1 - cos^2 c)
    = (2 sin c) / (sin^2 c)
    = 2/(sin c)
    = 2 cosec c

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