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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

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Verify the identity Verify the identity by transforming the left-han.pdf

  • 1. 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