How to simplify trig identity tan^2x+sin^2x=sec^2x-cos^2x

Question

Must simplify each side of the expression independent to find a common answer.

Answer 1

This is a very simple problem with several approaches. Did you look at your trig identities ?

sec^2=tan^2+1 is one of them

sin^2+cos^2=1 is another and therefore sin^2=1-cos^2

Here's one approach...

tan^2+sin^2=sec^2-cos^2

tan^2+sin^2=tan^2+1-cos^2

tan^2+sin^2=tan^2 +sin^2 from above