Prove that cosec square theota/ cosec theota - 1 - cosec square theota / cosec theota + 1 = 2 sec square theota
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cosec squarethetha/cosecthetha-1
=(cosec square thetha)(cosec thetha+1)-(cosec square thetha)(cosec thetha-1)/cosec square thetha-1
=cosec cubic thetha+cosec square thetha-cosec cubic thetha+cosec square thetha/cot square thetha
=2cosec square thetha/cot square thetha
=2/sin square thetha/cos square thetha/sin square thetha
=2sec square thetha
=rhs
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