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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 |
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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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