1.

What is the simplified value of \({\left( {\frac{1}{{cosecA\; + \;CotA}}} \right)^2}\)?1). sec A + tan A2). (1 - cos A)/(1 + cos A)3). (1 - cosec A)/(1 + cosec A)4). sin A

Answer»

COSEC A + Cot A = (1 + Cos A) /SIN A

⇒ 1/( Cosec A + Cot A)2 = (Sin A)2 /(1 + Cos A)2----(1)

⇒ (Sin A)2 = 1 - (COSA)2 = (1 + Cos A)(1 - CosA)

PUTTING in (1) we get,

⇒ (1 - cos A)/(1 + cos A)


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