JEE Mathematics · Medium

Trigonometry: Double Angle MCQ

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

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Double AngleMediumQuestion 200010

Question

sin 2θ in terms of sin θ and cos θ is:
  1. A
    sin²θ + cos²θ
  2. B
    2 sin θ cos θ
    Correct
  3. C
    cos²θ − sin²θ
  4. D
    2 cos²θ − 1

Correct answer

2 sin θ cos θ

Explanation

sin 2θ = sin(θ + θ) = sin θ cos θ + cos θ sin θ = 2 sin θ cos θ.