Question

How do you simplify `sec^2x tan^2x + sec^2x`?

Answer 1

`sec^4x`

Explanation:

`sec^2xtan^2x+sec^2x`

`=> sec^2x(tan^2x+1)`

The identity for `(tan^2x+1)` is equal to `sec^2x`

`=> sec^2x(sec^2x)`

`=> sec^4x`