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If  tan A = 10/15, then what will be the value of cos2 A?

This question was previously asked in
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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Given:

tan A = 10/15

Calculation:

tan A = Perpendicular/Base

Using Pythagoras Theorem

Hypotenuse2 = Perpendicular2 + Base2

Hypotenuse2 = 102 + 152

Hypotenuse = √325

cos A = Base/Hypotenuse

cos A = 15/√325

cos2 A = 225/325

∴ Option 3 is the correct answer.

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