No 6 dan 8. Mohon gunakan cara
Matematika
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Pertanyaan
No 6 dan 8.
Mohon gunakan cara
Mohon gunakan cara
1 Jawaban
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1. Jawaban Anonyme
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