How to prove the identity

Question

COT^2x+COS^2x+SIN^2x=CSC^2x

Answer 1

Remember the pythagorean identities, especially the most important one:  cos² x + sin²x =1

 

cot² x + cos² x + sin²x =

cot² x + (cos² x + sin²x) =

cot² x +1 =

csc²