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WAEC Further Mathematics 2022 Objective — Question 30

Question 30 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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Solve 4sin²θ+1=2, where 0°<θ<180°.

  • A. 60°, 120°
  • B. 30°, 150°Correct
  • C. 30°, 120°
  • D. 60°, 150°

Explanation

4sin²θ=1, so sin²θ=¼, sinθ=±½. For 0°<θ<180°, sinθ=½ gives θ=30° or θ=150°.

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