Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1. 8 sin^2 x cos^2 x

Answer 1

sin² x = (1 - cos 2x) / 2

cos² x = (1 + cos 2x) / 2

sin² x cos² x = (1 - cos² 2x) / 4

8 sin² x cos² x = 2(1 - cos² 2x)

1 - cos² 2x = (1 + cos 4x) / 2

2(1 - cos² 2x) = 1 + cos 4x

8 sin² x cos² x = 1 + cos 4x

QED