Question

How do you verify that `sin^2x/(cos^4x+cos^2xsin^2x)=tan^2x`?

Answer 1

See Below

Explanation:

`LHS: sin^2x/(cos^4x+cos^2xsin^2x)`

`=sin^2x/(cos^2x(cos^2x+sin^2x))`

`=sin^2x/(cos^2x*1)`->use property `sin^2x+cos^2x=1`

`=sin^2x/cos^2x`

`=tan^2x`

`=RHS`