trig
posted by garrett .
Verify the trigonometric identity. Please show all steps. tanxcotx/tanx+cotx=sin^2xcos^2x

Hint:
When there is a mixture of tan, sin and cos, use identities to convert everything into sin and cos, and simplify. This usually works, especially if the righthand side is in sin and cosine.
For your information,
tan(x)=sin(x)/cos(x)
cot(x)=cos(x)/sin(x)