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JAMB Mathematics 2019 Objective — Question 37

Question 37 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

Given that θ is an acute angle and sinθ=m/n, find cosθ

A. √((n²-m²))/n
B. √((n+m)(n-m))/n
C. √((n+m)(n-m))/n
D. √(n²-m²)/nCorrect

Explanation

Using Pythagoras: adjacent = √(n²−m²). cosθ = adjacent/hypotenuse = √(n²−m²)/n.

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