prove that Root 1+cos theta/1-cos theta =cos theta +cot theta.
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Given, root 1-cos theta/1+cos theta
= root 1-cos theta/1+cos theta * 1 - cos theta/1-cos theta
= root (1-costheta)^2/ 1- cos^2 theta
= root (1 - cos theta)^2/sin ^2 theta
= 1 - cos theta/sin theta
= 1/sin theta - cos theta/sin theta
= cosec theta - cot theta
Hope this helps!
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