Tan theta+ sec theta - 1/ tan theta - sec theta + 1= 1+sin theta/ cos theta
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LHS:- tan theta + sec theta - (sec Sq. theta - tan Sq. theta /tan theta - sec theta + 1
=( tan theta + sec theta)(1- sec theta + tan theta )/tan theta +1 - sec theta
=tan theta +sec theta
=sin theta / cos theta + 1/cos theta
= 1+ sin theta / cos theta
LHS = RHS
Hence proved
=( tan theta + sec theta)(1- sec theta + tan theta )/tan theta +1 - sec theta
=tan theta +sec theta
=sin theta / cos theta + 1/cos theta
= 1+ sin theta / cos theta
LHS = RHS
Hence proved
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