Question

Question #93741

Answer 1

see explanation.

Explanation:

We require to use the following `color(blue)"trigonometric identities"`

`• sin^2x+cos^2x=1`

`• 1+tan^2x=sec^2x`

`rArr(1+tan^2x)/(sin^2x+cos^2x)`

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

`=1+tan^2x`

`=sec^2x= "right side " rArr" verified"`