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WAEC Mathematics 2021 Question 39

Question 39

Trigonometry

Given that sin x = 3/5, 0° ≤ x ≤ 90°, evaluate (tan x + 2 cos x).

  1. A.2 11/20
  2. B.2 7/20
  3. C.11/20
  4. D.1/20
Show the answer and explanation

Answer: B (2 7/20)

Explanation

From a 3-4-5 triangle, tan x = 3/4 and cos x = 4/5. So 3/4 + 8/5 = 47/20 = 2 7/20.