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WAEC Mathematics 1991 (August) Question 26

Question 26

Trigonometry

Given that sin θ = −0.9063, where 0 ≤ θ° ≤ 270°, find θ.

  1. A.65°
  2. B.115°
  3. C.145°
  4. D.245°
  5. E.265°
Show the answer and explanation

Answer: D (245°)

Explanation

sin 65° = 0.9063. Sine is negative in the third quadrant within the range, so θ = 180° + 65° = 245°.