Question

How do you simplify `cos^2x / (1-cos^2x)`?

Answer 1

`cot^2x`

Explanation:

One way to simplify this is to use the identity

`sin^2x+cos^2x=1`

From this we can see that

`sin^2x=1-cos^2x`

Therefore we have

`cos^2x/(1-cos^2x)=cos^2x/sin^2x=cot^2x`