16sin^2xcos^2x. Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1

Answer 1

Use the following identities: sin²x = (1-cos2x)/2 and cos²x = ( 1+ cos2x)/2 Using these 16sin²xcos²x now gives 16(1-cos2x)(1+cos2x)/4 = 4 (1-cos²2x) which gives 4( 1- (1+cos4x)/2) simplifying this gives 2( 1-cos4x)