Prove the equation is an identity :

Question

csc3theta - csctheta + cottheta/csctheta = cotsqtheta + costheta

wow ... try that one

Answer 1

Here's where parentheses come in handy.

As written, the identity is wrong. What you meant to say was

(csc^3 - csc + cot)/csc
= (csc(csc^2 - 1) + cot)/csc
= (csc cot^2 + cot)/csc
= csc cot^2/csc + cot/csc
= cot^2 + cos/sin * sin
= cot^2 + cos