Matematika

Pertanyaan

Jika cos x = 3/5 dengan x sudut lancip, maka nilai sin 3x - sin x = ...

1 Jawaban

  • cos x = 3/5
    sin x = 4/5
    sin 2x = 2.sin x. cos x
    = 2.(4/5).(3/5)
    = 24/25
    cos 2x = (cos x) ^2 - (sin x) ^2
    = (3/5)^2 - (4/5)^2
    = 9/25 - 16/25
    = -7/25
    sin 3x = sin (2x + x)
    = sin 2x. cos x + cos 2x.sin x
    = (24/25).(3/5) + (-7/25).(4/5)
    = 72/125 - 28/125
    = 44/125

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