WAEC Mathematics 2006 Question 10

Question 10

Trigonometry

If tan y = 0.404, where y is acute, find cos 2y.

  1. A.0.035
  2. B.0.719
  3. C.0.808
  4. D.0.927
Show the answer and explanation

Answer: B (0.719)

Explanation

y = tan−1(0.404) ≈ 22°, so 2y ≈ 44° and cos 44° ≈ 0.719.