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JEE Mathematics · Hard

Trigonometry: Advanced identity MCQ

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Advanced identityHardQuestion 200050

Question

sin A sin(60°−A) sin(60°+A) simplifies to:
  1. A
    (sin 3A)/4
    Correct
  2. B
    (cos 3A)/4
  3. C
    sin 3A
  4. D
    sin A/4

Correct answer

(sin 3A)/4

Explanation

This is the identity: sin θ sin(60°−θ) sin(60°+θ) = sin 3θ/4. Used frequently in JEE to simplify triple products.

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