जर tan A = 10/15, तर cos2 Aचे मूल्य किती असेल?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 4)
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  1. 59/269
  2. 49/269
  3. 225/325
  4. 169/269

Answer (Detailed Solution Below)

Option 3 : 225/325
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Detailed Solution

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दिलेल्याप्रमाणे:

tan A = 10/15

गणना:

tan A = लंब/पाया

पायथॅगोरसचे प्रमेय वापरून,

कर्ण2 = लंब2 + पाया2

कर्ण2 = 102 + 152

कर्ण = √325

cos A = पाया/कर्ण 

cos A = 15/√325

cos2 A = 225/325

∴ पर्याय 3 हे योग्य उत्तर आहे.

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