JEE Mathematics · Medium

Trigonometry: Equation with conditions MCQ

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

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Equation with conditionsMediumQuestion 200026

Question

Solutions of tan θ = √3 in [0°, 360°] are:
  1. A
    60° only
  2. B
    60° and 240°
    Correct
  3. C
    60° and 300°
  4. D
    60° and 120°

Correct answer

60° and 240°

Explanation

tan θ = √3 = tan 60°. tan is positive in Q1 and Q3. Solutions: 60° and 60° + 180° = 240°.