Question #0e8af

2 Answers
Nov 22, 2017

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

Nov 22, 2017

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