1+cosec a/ cosec a = cos^2 a /1-sina
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LHS
=1+cosec a/ cosec a
=1+1/sin a/ 1/sin a
=(sin a +1)sin a/ sin a/ 1
=1+sin a * 1-sin a/1-sin a
=(1-sin^2)/1-sin a [1-sin^2 a= cos^2 a]
=cos^2 a/ 1-sin a RHS
=1+cosec a/ cosec a
=1+1/sin a/ 1/sin a
=(sin a +1)sin a/ sin a/ 1
=1+sin a * 1-sin a/1-sin a
=(1-sin^2)/1-sin a [1-sin^2 a= cos^2 a]
=cos^2 a/ 1-sin a RHS
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