Buktikan identitas trigonometri berikut: [tex]\displaystyle \frac{\sin^3 x-\cos^3 x}{\sin x-\cos x}=1+\frac{1}{2}\sin 2x[/tex]

Materi trigonometri analitik <<<<

(x³ - y³)/(x - y)
= x² + xy +y²

sin 2x = 2 sin x cos x

(sin³ x - cos³ x)/(sin x - cos x)
= sin² x + sin x cos x + cos² x
= 1 + (1/2)sin 2x
= ruas kanan
TerBukTi