Question

How do you simplify the expression `tan^2x/(secx-1)`?

Answer 1

`tan^2x/(secx-1)=secx+1`

Explanation:

As `sec^2x=1+tan^2x`, `tan^2x=sec^2x-1`

Hence, `tan^2x/(secx-1)`

= `(sec^2x-1)/(secx-1)`

= `secx+1`