Write the expression in terms of sines and cosines to simpli

Write the expression in terms of sines and cosines to simplify so the answer is not a quotient. Select the expression that completes the identity - cos^2 x(1 - sec^2 x) = sec^2 x 1 -sec^2 x cot^2 x - sin^2 x sin^2 x

Solution

-cos^2x( 1-sec^2x)

= - cos^2x + cos^2x*sec^2x

= - cos^2x +1

= 1- cos^2x

= sin^2x (Answer)