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WAEC Mathematics 1996 Question 41

Question 41

Trigonometry

If tan x = 2 2/5, find the value of sin x; 0 ≤ x ≤ 90°

  1. A.5/13
  2. B.5/12
  3. C.144/169
  4. D.12/13
  5. E.13/12
Show the answer and explanation

Answer: D (12/13)

Explanation

tan x = 12/5, so take opposite = 12 and adjacent = 5. The hypotenuse is √(144 + 25) = 13, so sin x = 12/13.