Verify the identity

Question

A.) tan²t − sin²t = tan²t sin²t

 

B.) sin A/1 − cos A− cot A = csc A

Answer 1

tan^2(t) - sin^2(t) = sin^2(t)/cos^2(t) - sin^2(t) = LS

=(sin^2(t) - sin^2(t)cos^2(t))/cos^2(t) =LS

RS = tan^2(t)sin^2(t) = sin^2(t)sin^2(t)/cos^2(t)=(sin^2(t)(1-cos^2(t))/cos^2(t)

=(sin^2(t)-sin^2(t)cos^2(t))/cos^2(t)= RS = LS

if you don't know what else to do, put everything in terms of sines and cosines