JAMB Mathematics 2020 Objective — Question 29

Question 29 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

What is the value of (tan60 deg - tan30 deg)/(tan60 deg + tan30 deg)?

A. 2/sqrt3
B. 4/sqrt3
C. 1/2Correct
D. 1

Explanation

tan60=sqrt3, tan30=1/sqrt3. (sqrt3-1/sqrt3)/(sqrt3+1/sqrt3) = (3-1)/(3+1) = 2/4 = 1/2.

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