(sin x - cos x)^2 = 3-3 sin^2 x
Matematika
pujianggraeni
Pertanyaan
(sin x - cos x)^2 = 3-3 sin^2 x
1 Jawaban
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1. Jawaban Anonyme
jawab
(sin x - cos x)^2 = 3 - 3 sin 2x
kiri
(sin x - cos x )^2 =
= sIn^2x - 2 sin x cos x + cos^2x
= 1 - 2 sin x cos x
= 1 - sin 2x
kanan
3 - 3 sin^2 x =
= 3 (1 - sin^2 x)
= 3 cos^2 x
kiri tidak sama kanan
tidak terbukti