JEE Mathematics · Medium

Trigonometry: Half-Angle MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Half-AngleMediumQuestion 200015

Question

tan(θ/2) in terms of sin θ and cos θ is:
  1. A
    sin θ/(1 + cos θ)
  2. B
    (1 − cos θ)/sin θ
  3. C
    Both A and B
    Correct
  4. D
    cos θ/(1 + sin θ)

Correct answer

Both A and B

Explanation

Both forms are valid: tan(θ/2) = sin θ/(1 + cos θ) = (1 − cos θ)/sin θ. Verify by cross-multiplying.