Question

Question #0e8af

Answer 1

`(sec^2theta-1)cos^2theta=sec^2thetacos^2theta-cos^2theta=1-cos^2theta,`
`=sin^2theta.`

Answer 2

`sin^2 theta`

Explanation:

The identity is incomplete as its equivalent part has not been mentioned.
Anyway, the given expression can be simplified as follows:

Using the standard identity `sec^2 theta -1= tan^2 theta`, the given expression becomes `tan^2 theta* cos^2 theta`

`(sin^2 theta)/ (cos^2 theta` * `cos^2 theta`

= `sin^2 theta`