JAMB Mathematics 2020 Objective — Question 3

Question 3 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

If sin x equals cos x, x in radians is

A. pi/12
B. pi/6
C. pi/4Correct
D. pi/3

Explanation

sin x = cos x. Recall that sin x = cos(90-x) if x is in degrees. If it is in radians, sinx = cos(pi/2 - x). Thus cosx = cos(pi/2-x), so x = pi/2 - x, 2x = pi/2, x = pi/4.

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