Question

How do you simplify `1/( tan^2 x + 1)`?

Answer 1

the answer is `cos^2x`

Explanation:

`1/(1+tan^2x)=1/(1+(sin^2x/cos^2x))=cos^2x/(cos^2x+sin^2x)=cos^2x`
as `cos^2x+sin^2x=1`