sin A/1-cosA=cosecA+cotA
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sinA/1-cosA = cosecA + cotA
LHS
sinA/1-cosA
= sinA(1+cosA)/(1-cosA)(1+cosA)
= sinA(1+cosA)/(1-cos2A)
= sinA(1+cosA)/sin2A
= 1+cosA/sinA
= 1/sinA + cosA/sinA
= cosecA + cotA
= RHS
Hence, proved!
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