someone please solve it fast.
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LHS= [cosecA/ cosecA-1] + [cosecA/ cosecA+1]
= cosecA( cosecA+ 1) + cosecA( cosecA- 1)/ cosec^2A- 1
= cosecA( cosecA+ 1 + cosecA - 1)/ cot^2A
=2cosec^2A/ cot^2A
=(2/sin^2A)/(cos^2A/ sin^2A)
= 2/cos^2A
=2sec^2A= RHS
hence proved
= cosecA( cosecA+ 1) + cosecA( cosecA- 1)/ cosec^2A- 1
= cosecA( cosecA+ 1 + cosecA - 1)/ cot^2A
=2cosec^2A/ cot^2A
=(2/sin^2A)/(cos^2A/ sin^2A)
= 2/cos^2A
=2sec^2A= RHS
hence proved
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