prove that (Sin theta/ 1+ cos theta) + (1+ Cos theta / Sin theta) = 2cosec theta
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L.H.S,
sin / (1 + cos) + (1+cos)/sin
=sin^2 + (1+cos)^2/sin(1+cos)
=sin^2+1+cos^2+2 cos / sin (1+cos)
=1+1+2cos/sin(1+cos)
=2(1+cos)/sin(1+cos)
=2 / sin
=2 cosec = R.H.S
H.P
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