यदि \(\frac{cos\,\alpha}{sin\,β}\) = 10 और \(\frac{cos\,\alpha}{cos\,β}\) = 11, तो cos2β का मान क्या है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. \(\frac{121}{132}\)
  2. \(\frac{100}{221}\)
  3. \(\frac{88}{108}\)
  4. \(\frac{221}{121}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{100}{221}\)
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दिया गया है:

F4 Vinanti SSC 01.12.23 D5

\(\frac{cos\,α}{sin\,β}\) = 10 , \(\frac{cos\,α}{cos\,β}\) = 11

गणना:

10 sinβ = 11 cosβ

⇒ tanβ = 11/10

cos2β = 100/221

सही विकल्प 2​ है। 

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