assignment Factor the expression and use the fundamental identities to simplify. There is more than one correct form of the answer. 5 Sin x sec x 5 sin2x Factor the expression and use the fundamental identities to simplify. There is more than one correct form of the answer. COS X 4 COS x 16 Factor the expression and use the fundamental identities to simplify. There is more than one correct form of the answer. 1 2 cos2 x cos x Solution 1) 5sin^2x sec^2x - 5sin^2x = 5sin^2x [ sec^2x -1] = 5 sin^2x * tan^2x = 5sin^2x * sin^2x / cos^2x = 5 sin^4 x / cos^2x 2) (cosx -4)/(cos^2x -16) = [ cosx-4]/[ (cosx)^2 -4^2] = [cosx-4]/[ (cosx +4)(cosx-4)] = 1/ (cosx +4) 3) 1- 2cos^2x +cos^4x = 1^2 - (2* 1 * cos^2x ) + (cos^2x)^2 = (1-cos^2x)^2 = (sin^2x)^2 = sin^4 x.