prove that sin theta /1 - cos theta + tan theta /1 + cos theta=cos theta + sec theta×cosec theta
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sinA/1−cosA+tanA/1+cosA=secA cosecA +cotA
LHS
=sinA/1−cosA+tanA1+cosA=sinA(1+cosA) + tanA(1−cosA)1−cos2A=sinA + sinA cosA + tanA − tanA cos Asin2A=1sinA+cosAsinA+1cosA sinA−1sinA=cosAsinA+1cosA sinA=cotA + sec A cosecA = RHS
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