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 sine Superscript 4 Baseline x Question content area bottom Part 1 Begin by applying the power-reducing formula sine squared theta equals StartFraction 1 minus cosine 2 theta Over 2 EndFraction . 8 sine Superscript 4 Baseline x = 8 left parenthesis sine squared x right parenthesis squared = 8 left parenthesis StartFraction 1 minus cosine 2 x Over 2 EndFraction right parenthesis squared Use sine squared theta equals StartFraction 1 minus cosine 2 theta Over 2 EndFraction with theta = x. Part 2 = 8 left parenthesis StartFraction 1 minus 2 cosine 2 x plus cosine squared 2 x Over 4 EndFraction right parenthesis Square the numerator:left parenthesis Upper A minus Upper B right parenthesis squared equals Upper A squared minus 2 AB plus Upper B squared. Square the denominator. Part 3 = 8 left parenthesis one fourth minus one half cosine 2 x plus one fourth cosine squared 2 x right parenthesis Divide each term in the parentheses by 4. Part 4 = 8 left parenthesis one fourth minus one half cosine 2 x plus one fourth left parenthesis StartFraction 1 plus cosine left parenthesis 2 times 2 x right parenthesis Over 2 EndFraction right parenthesis right parenthesis Use cosine squared x equals StartFraction 1 plus cosine 2 x Over 2 EndFraction with theta = 2x. Part 5 = 8 left parenthesis one fourth minus one half cosine