WAEC Further Mathematics 2012 Question 5

Question 5

Trigonometry

Given that sin x = −√3/2 and cos x > 0, find the value of x.

  1. A.300°
  2. B.240°
  3. C.120°
  4. D.60°
Show the answer and explanation

Answer: A (300°)

Explanation

sin negative and cos positive puts x in the 4th quadrant. The reference angle is 60°, so x = 360° − 60° = 300°.