WAEC Further Mathematics 2025 Question 32

Question 32

Trigonometry

Given that tan p = 3/4 and tan q = 8/15, evaluate tan (p + q)

  1. A.60/77
  2. B.36/77
  3. C.77/36
  4. D.77/60
Show the answer and explanation

Answer: C (77/36)

Explanation

tan(p + q) = (3/4 + 8/15)/(1 − (3/4)(8/15)) = (77/60)/(36/60) = 77/36.