Question

(cos^2 x + sin^2 x) / (cot^2 x - csc^2 x)
How would I go about simplifying this please?

Answer 1

\[\cos ^{2}x+\sin ^{2}x=1\]
\[\csc ^{2}x-\cot ^{2}x=1\]
calculate and get the solution.

Answer 2

Are there any other identities relating close to csc^2 x - cot^2 x =1 that I should know about?

Answer 3

\[\sec ^{2}x-\tan ^{2}x=1\]