Can somebody show I steps to simplify this [9(sin(t)^4 cos(t)^2 +cos(t)^4 sin(t)^2)]/[9(cos(t)^4 sin(t)^2 +sin(t)^4 cos(t)^2 )]^(3/2

Answer 1

well, you can clearly factor out a 9sin^2t cos^2t. That leaves
9sin^2t cos^2t [(sin(t)^2 +cos(t)^2)] / 27sin^3t cos^3t[(cos(t)^2+sin(t)^2)]^(3/2)

Think you can handle that?