Matematika

Pertanyaan

Jika sin x = 1/5 ✓5 , maka cos x - 5 cos ( π/2 + x ) + 2 sin ( π - x ) adalah

1 Jawaban

  • sin x = (1/5)√5
    cos x = (2/5)√5

    cos x - 5.cos (π/2 + x) + 2.sin (π - x)
    = cos x - 5.cos (90 + x) + 2.sin (180 - x)
    = cos x - 5(-sin x) + 2.sin x
    = cos x + 5.sin x + 2.sin x
    = cos x + 7.sin x
    = (2/5)√5 + 7(1/5)√5
    = (9/5)√5

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