JEE Mathematics · Hard

Trigonometry: Advanced MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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AdvancedHardQuestion 200042

Question

If sin A = 3/5 and A is in the second quadrant, cos 2A is:
  1. A
    7/25
    Correct
  2. B
    −7/25
  3. C
    24/25
  4. D
    −24/25

Correct answer

7/25

Explanation

cos A = −4/5 (negative in Q2). cos 2A = 1 − 2sin²A = 1 − 2(9/25) = 1 − 18/25 = 7/25.