Question

Question #b851d

Answer 1

Blank should be filled in by `cos^2theta`

Explanation:

If `cos^2theta` is written in the blank then LHS becomes

`LHS= 1-tan^2thetaxxcos^2theta`

`= sec^2thetacos^2theta-sin^2theta/cos^2thetaxxcos^2theta`

`= sec^2thetacos^2theta-sin^2theta=RHS`