Prove that:
csc^2x = 1 + cot^2x
start with the basic Pythagorean identity
sin^2x + cos^2x = 1
now divided each term by sin^2 and it will fall into place.
csc^2x = 1 + cot^2x
sin^2x + cos^2x = 1
now divided each term by sin^2 and it will fall into place.