Verify the identity Verify the identity by transforming the

Verify the identity by transforming the left-hand side into the right-hand side. sec theta - cos theta/tan theta = tan theta/sec theta

Solution

(sec theta - cos theta)/tan theta=tan theta/sec theta

starting with the left side

(1 / cos theta - cos theta)/ tan theta

(1-cos²theta)/cos theta/sin theta/cos theta= sin²theta/cos theta/sin theta/cos theta=sin theta

checking the right side

tan theta/sec theta=sin theta/cos theta/1/cos theta=sin theta

both sides are equal to sin theta