Question

Prove the following relations:cot²a-cos²a=cot²a cos

please help:((​

Answer 1

steps below

Explanation:

It's easier to prove from right side to left side. If you insist to prove from left to right, you can just reverse the calculation from bottom to the top.

`cot^(2) a * cos^(2)a \\= cot^(2) a * (1-sin^(2) a)\\= cot^(2) a - cot^(2) a*sin^(2) a\\= cot^(2) a - (cos^(2) a)/(sin^(2)a) *sin^(2) a\\= cot^(2) a - cos^(2) a`