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NDA 2025 · PYQ · Trigonometry · easy

What is 2sin2α + cos2α equal to?

  1. A.11/10
  2. B.11/5✓ Correct
  3. C.12/5
  4. D.13/5

Explanation

With sinα = 3/5, cosα = 4/5: sin2α = 2·(3/5)(4/5) = 24/25, cos2α = cos²α - sin²α = 16/25 - 9/25 = 7/25. So 2sin2α + cos2α = 48/25 + 7/25 = 55/25 = 11/5.
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