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Hey dear here is ur answer ********
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1+sin theta/cos theta +cos theta/1+sin theta
={(1+sin^2 theta)+cos^2 theta}/cos theta (1+sin theta)
={1+sin^2 theta+2 sin theta+cos^2 theta}/cos theta (1+sin theta)
=2(1+sin theta)/cos theta (1+sin theta)
=2/ cos theta
=2 sec theta [Proved.]
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