Matematika

Pertanyaan

diketahui sin x cos x= 3/8 nilai 1/sin x - 1/cos x adalah..

1 Jawaban

  • Materi trigonometri

    (cos x - sin x)^2 = cos^2 x + sin^2 x - 2 sin x cos x = 1 - 2 × 3/8 = 1 - 3/4 = 1/4
    (cos x - sin x) = 1/2
    1/sin x - 1/cos x = (cos x - sin x) / sin x cos x
    = (1/2) / (3/8) = 1/2 × 8/3 = 4/3

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