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WAEC Mathematics 2015 Question 23

Question 23

Trigonometry

Given that tan x = ⅔ where 0° ≤ x ≤ 90°, find the value of 2sin x.

  1. A.2√13/13
  2. B.3√13/13
  3. C.4√13/13
  4. D.6√13/13
Show the answer and explanation

Answer: C (4√13/13)

Explanation

Opposite 2, adjacent 3, hypotenuse √13. sin x = 2/√13, so 2 sin x = 4/√13 = 4√13/13.