Question

(Cosec A + Cot A)(1 – Cos A) =​

Answer 1

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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

Answer 2

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