Question

Simplify `tan^2x/(secx+1)`?

Answer 1

Please see below.

Explanation:

We do it using wellKnown identity `sec^2x=tan^2x+1` or `sec^2x-1=tan^2x`. Using this

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

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

= `((secx+1)(secx-1))/(secx+1)`

= `secx-1`.