WAEC Mathematics 2019 Objective — Question 37

Question 37 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

37. If tan x = 3/4, 0 < x < 90°, evaluate cos x/(2sin x).

A. 8/3
B. 3/2
C. 4/3
D. 2/3Correct

Explanation

Since tan x = sin x/cos x = 3/4, cot x = 1/tan x = cos x/sin x = 4/3. So cos x/(2sin x) = (1/2)(cos x/sin x) = (1/2)(4/3) = 2/3.

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