Question

How do you simplify `[1 + tan^2x] / [csc^2x]`?

Answer 1

`tan^2x`

Explanation:

It is known that `1+tan^2x-=sec^2x`

We can apply this to get:
`sec^2x/csc^2x=(1/cos^2x)/(1/sin^2x)=sin^2x/cos^2x=tan^2x`