Prove that
(1+cosecA)/cosecA=sin²A/(1-sinA).
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LHS=1/(cosecA-cotA) -1/sinA=(cosecA+cotA)/cosec^2A-cot^2A) -cosecA=cosecA+cotA-cosecA=cotARHS=1/sinA-1/(cosecA+cotA)=cosecA-(cosecA-cotA)/(cosec^2A-cot^2A)=cosecA-(cosecA-cotA)=cotALHS=RHS
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