JEE Mathematics · Medium

Trigonometry: Triple Angle MCQ

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

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Triple AngleMediumQuestion 200014

Question

sin 3θ in terms of sin θ is:
  1. A
    3 sin θ − 4 sin³θ
    Correct
  2. B
    4 sin³θ − 3 sin θ
  3. C
    3 cos θ − 4 cos³θ
  4. D
    2 sin θ cos θ

Correct answer

3 sin θ − 4 sin³θ

Explanation

sin 3θ = 3 sin θ − 4 sin³θ. Derived by expanding sin(2θ + θ).