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LHS,
= cos theta / 1-sin theta + 1-sin theta / cos theta
= cos theta * cos theta + 1-sin theta * 1-sin theta / cos theta * 1-sin theta
= cos sq theta + 1+ sin sq theta -2sin theta / cos theta * 1-sin theta
= 2 -2sin theta / cos theta * 1-sin theta
=2(1-sin theta )/ cos theta * 1-sin theta
=2/cos theta
= 2 * 1/cos theta
=2 sec theta
LHS = RHS
Hence proved
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refer to the above attachment for the solution
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