WAEC Further Mathematics 2015 Question 2

Question 2

Trigonometry

Solve: 2cos x − 1 = 0, for 0 ≤ x ≤ 2π

  1. A.(2π/3, 4π/3)
  2. B.(π/6, 5π/6)
  3. C.(π/5, 2π/5)
  4. D.(π/3, 5π/3)
Show the answer and explanation

Answer: D ((π/3, 5π/3))

Explanation

cos x = ½, which happens at x = π/3 and x = 2π − π/3 = 5π/3.