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UI Post-UTME Mathematics 2024 (Model questions) Question 7

Question 7

Trigonometry

Solve for x in the interval 0° ≤ x ≤ 360°, 2 sin x = √3

  1. A.60° only
  2. B.60°, 120°
  3. C.60°, 240°
  4. D.50°, 150°
Show the answer and explanation

Answer: B (60°, 120°)

Explanation

sin x = √3/2, which is positive in the first and second quadrants: x = 60° or 180° − 60° = 120°.