Question

Prove the identity: (1+cotθ)/(1-cosθ) = (cotθ + cosecθ)²

Answer 1

Usually the best way to go about these is to change everything into sin and cos if you can. OR look for an identity to replace something you have. We don't have an identity to replace either one of what you were given, so we will simplify into sin and cos.

Answer 2

what is cosec?
csc or sec?

Answer 3

from what I know this identity is false, let it be sec(x) or csc(x)