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WAEC Further Mathematics 2016 Question 22

Question 22

Trigonometry

Given that tan x = 5/12 and tan y = 3/4, find tan(x + y).

  1. A.16/33
  2. B.33/56
  3. C.33/16
  4. D.56/33
Show the answer and explanation

Answer: D (56/33)

Explanation

(5/12 + 3/4)/(1 − 15/48) = (14/12)/(33/48) = 56/33.