यदि \(\rm \left(\frac{\cos A}{1-\sin A}\right)+\rm \left(\frac{\cos A}{1+\sin A}\right)=4\) है, तब A का मान कितना होगा? (0° < A < 90°)  

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)
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  1. 90°
  2. 45°
  3. 60°
  4. 30°

Answer (Detailed Solution Below)

Option 3 : 60°
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गणना :

⇒ \(\frac{cosA(1 + sinA) + cosA(1 - sinA)}{{(1 + sinA)}{(1 -sinA)}}\) = 4

⇒ \(\frac{cosA + cosA.sinA + cosA - cosAsinA}{{(1 - sinA)}{(1 + sinA)}}\) = 4

⇒ 2/cosA = 4

⇒ cosA = 1/2

⇒ A = 60° 

∴ सही उत्तर 60° है। 

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