Find the value of \(\frac{\cos41}{\sin49} + \frac{\sin51}{\cos39}\)

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 4)
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  1. 4
  2. 2
  3. 3
  4. 1

Answer (Detailed Solution Below)

Option 2 : 2
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Detailed Solution

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Concept used

sin (90° – θ) = cos θ and cos (90° – θ) = sin θ

Calculation

⇒ cos41/sin49 + sin51/cos39

sin (90° – 39) = cos 39 and cos (90° – 49) = sin49

⇒ sin49/sin49 + cos39/cos39

 1 + 1 = 2

The answer is 2.

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