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JEE Mathematics · Medium

Trigonometry: Specific Value Equation MCQ

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Specific Value EquationMediumQuestion 200023

Question

The general solution of sin θ = 1/2 is:
  1. A
    θ = nπ + π/6
  2. B
    θ = nπ + (−1)ⁿ π/6
    Correct
  3. C
    θ = 2nπ ± π/6
  4. D
    θ = nπ/6

Correct answer

θ = nπ + (−1)ⁿ π/6

Explanation

General solution of sin θ = sin α is θ = nπ + (−1)ⁿ α. Here α = π/6, so θ = nπ + (−1)ⁿ π/6.

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