Matematika

Pertanyaan

apabila 4 cot alva =3, maka nilai dari sini X - cos X/sin X +cosx

1 Jawaban

  • Trigonometri

    4 cos A = 3
    cos A = 3/4
    sin A = √(1- cos² A) = √(1- 9/16) = √(7/16) = 1/4 √7

    (sin x- cos x) / (sin x  + cos x) =
    = (3/4 - 1/4 √7) / (3/4 + 1/4√7)
    = (3 - √7)/(3 + √7)
    = (3- √7)²/(3+√7)(3-√7)
    = (9+7 - 6√7)/ (9-7)
    = (2 - 6√7) / (2)
    = 1 - 3√7

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