Verify the identity sec2 theta1 sin2 theta 1 To verify the

Verify the identity. sec^2 theta(1 - sin^2 theta) = 1 To verify the identify, start with the more complicated side and transform it to look like the offer side. Choose the correct transformations and transform the expression at each step.

Solution

sec^2theta( 1- sin^2theta)

sec^2theta( cos^2theta) -----> use sin^2theta +cos^2theta =1

(1/cos^2theta)cos^2theta

= 1