(Cosec A + Cot A)(1 – Cos A) =
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➡️LHS = cosecA (1-cos A) (cosec A + cot A)
= (cosecA-cosecAcosA)(cosecA+cotA)
= (cosecA-cotA)(cosecA+cotA)
➡️Since ,
cosecAcosA = cosA/sinA = cotA
= cosec²A - cot²A
= 1
➡️Since ,
cosec²A - cot²A = 1
= RHS
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