Prove that cosec a/ cosec a-1 + cosec a/ cosec a+1= 2 sec squara a
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Coseca/coseca-1+coseca/coseca+1
=(coseca)(coseca+1)+(coseca)(coseca-1)/cosec square a-1
=cosec square a+coseca+cosec square a-coseca/cot square a
[Since,cosec spuare a-1=cot square a]
=2cosec square a/cot square a
=2/sin square a/cos square a/sin square a
= 2/cos square a
=2sec square a
=rhs
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