Question

verify cot^2t/csct=csct-sin^2

Answer 1

I'm going to ignore all the t's, just see if you can follow along.
(cos^2/sin^2)*sin=cos^2/sin
cos^2=1-sin^2
therefore
(1-sin^2)/sin=(1/sin)-(sin^2/sin)=csc-sin
I'm not sure how you're getting the sin^2, cause all my math checks out, so that is pretty odd