cosec A - cot A = sin A ÷ 1 + cos A
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LHS = cosecA - cotA
= 1/sinA - cosA/sinA
= (1 - cosA)/sinA
on rationalising we get,
= (1 - cosA)/sinA * (1 + cosA)/(1 + cosA+
= sin^2A/sinA(1 + cosA)
= sinA/(1+ cosA) = RHS Hence Proved.
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