Use the power reduction formulas to rewrite the expression sin^4(8x)

Answer 1

sin⁴(8x) = (1 - cos(16x))²/4 = 1/4 - 1/2 cos(16x) + 1/4cos²(16x) = 1/4 - 1/2cos(16x) + 1/8 + 1/8cos(32x) =

3/8 - 1/2cos(16x) + 1/8cos(32x).