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SSC CHSL 2025 · PYQ · Trigonometry · medium

In a right triangle ABC, right-angled at B, if tan A = 1/√3, what is the value of 2 sin A cos A?

  1. A.√3/8
  2. B.√3/5
  3. C.√3/7
  4. D.√3/2✓ Correct

Explanation

tan A = 1/√3 means A = 30°. sin 30° = 1/2, cos 30° = √3/2. 2 sin A cos A = sin 2A = sin 60° = √3/2.
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