Matematika

Pertanyaan

No 6 dan 8.
Mohon gunakan cara
No 6 dan 8. Mohon gunakan cara

1 Jawaban

  • Bab Trigonometri
    Matematika SMA Kelas X

    6] 1 - (sin² x)/(1 + cos x)
    = (1 + cos x - sin² x)/(1 + cos x)
    = (cos x + 1 - sin² x) / (1 + cos x)
    = (cos x + cos² x) / (1 + cos x)
    = cos x (1 + cos x) / (1 + cos x)
    = cos x
    terbukti

    8] (1 - 2 cos² a) / (sin a cos a)
    = (2 cos² a - 1) / (- sin a cos a)
    = (cos² a - sin² a) / (- sin a cos a)
    = (sin² a - cos² a) / (sin a cos a)
    = (sin² a /(sin a cos a)) - (cos² a /(sin a cos a))
    = tan a - cot a
    terbukti