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

Question

18sin^4x

Answer 1

The power-reducing formula for sin^4x is:

sin^4x = (1/2)(3 - 4cos(2x) + cos(4x))

Therefore, we can rewrite 18sin^4x as:

18sin^4x = 18 * (1/2)(3 - 4cos(2x) + cos(4x))
18sin^4x = 9(3 - 4cos(2x) + cos(4x))