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What is the simplified value of \(\sqrt {\frac{{\sec A}}{{\sec A - 1}} + \frac{{\sec A}}{{\sec A + 1}}?} \)1). cosec A2). √2 cosec A3). 2 sec2A4). sec A |
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Answer» We can WRITE sec A = 1/ COS A, Now it can be written as ⇒ √{1/(1 - cos A) + 1/(1 + cos A) } ⇒ √[{(1 - cos A) + (1 + cos A) }/{(1 - cos A) (1 + cos A) }] ⇒ √{2/(1 - cos2A) } since we know that 1 - cos2 A = sin2 A ⇒ √2/sin A = √2 COSEC A ∴ Its simplified VALUE is √2 cosec A |
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