WAEC Further Mathematics 2025 Objective — Question 32

Question 32 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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

A. 60/77
B. 36/77
C. 77/36Correct
D. 60/77

Explanation

tan(p+q) = (tan p+tan q)/(1-tan p·tan q) = (3/4+8/15)/(1-(3/4)(8/15)) = (77/60)/(3/5) = 77/36.

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