Question

Buktikan identitas trigonometri berikut. (sin x - cos x)² + 2 cos x sin x = 1

Answer 1

Verified answer

(Sin x- cos x)² + 2 sin x cos x
= Sin² x + cos² x - 2 sinx cos x + 2 sin x cos x
= Sin²+cos² x
= 1

Terbukti

Note: sin² x + cos² x=1