Matematika

Pertanyaan

bentuk cosec x - cosx.cotx ekuivalen dengan

2 Jawaban

  • cosec x - cosx.cotx
    = (1/sin x) - (cos x . cos x/sin x)
    = (1/sin x) - (cos²x/sin x)
    = (1/sin x) - (1- sin²x/sin x)
    = sin²x/sin x
    = sin x
  • cosec x - cos x cot x
    = 1/(sin x) - cos x . (cos x)/(sin x)
    = (1 - cos^2 x)/(sin x)
    = (sin^2 x)/(sin x)
    = sin x

    ^ = pangkat

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