Finding Trig Identities~ Need asap

Question

I am in need of some help solving this Trig Identity:

cotx/csc+1=cscx-1/cotx

Answer 1

cotx/cscx+1

Multiply denominater and numerator with cscx-1

=cotx(cscx-1)/(cscx+1)(cscx-1)

Simplify

=cotx(cscx-1)/(csc^2x-1)

Recall  csc² θ - cot² θ = 1 ---->  csc² θ-1 = cot²θ

=cotx(cscx-1)/(cot^2x)

=cscx-1/cotx

hope that helps you