Verify the trigonometric identity. Please show all steps. tanx-cotx/tanx+cotx=sin^2x-cos^2x

Answer 1

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 right-hand side is in sin and cosine.

For your information,
tan(x)=sin(x)/cos(x)
cot(x)=cos(x)/sin(x)