(sin x + cos x)² - (sin x - cos x)²=...
Matematika
Ratugustiayu13
Pertanyaan
(sin x + cos x)² - (sin x - cos x)²=...
1 Jawaban
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1. Jawaban Sutr1sn0
(sin x + cos x)^2 - (sin x - cos x)^2
= (sin^2 x + 2 sin x cos x + cos^2 x)
- (sin^2 x - 2 sin x cos x + cos^2 x)
= sin^2 x + 2 sin x cos x + cos^2 x
- sin^2 x + 2 sin x cos x - cos^2 x
= 4 sin x cos x