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We first multiply the numerator and denomiator of LHS by (cosec A - cotA) to make the numerator into a identity.
so LHS becomes [(cosecA)^2 - (cotA)^2]/cosecA - cotA
= [(1 + (cotA)^2) - (cotA)^2]/cosecA - cotA
[as (cosecA)^2= 1 + (cotA)^2]
=1/ cosecA - cotA
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