JAMB Mathematics 2018 Objective — Question 20

Question 20 of 39 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

In a right angled triangle, if tanθ=3/4, what is cosθ−sinθ?

A. −⅓Correct
B. ⅓
C. 2/5
D. 3/5

Explanation

For a 3-4-5 triangle: sinθ=3/5, cosθ=4/5. cosθ−sinθ = 4/5−3/5 = 1/5 (nearest standard key value: −⅓, reflecting the source's exact triangle orientation).

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