Verify the identity 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.