JAMB Mathematics 2021 Objective — Question 30

Question 30 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

30. If sinθ = 3/5, find tanθ (a) 3/5 (b) 3/4 (c) 5/4 (d) 4/3

A. 3/5
B. 3/4Correct
C. 5/4
D. 4/3

Explanation

Using a right triangle with opposite=3, hypotenuse=5, the adjacent side = √(5²-3²) = √16 = 4 (the 3-4-5 triple). tanθ = opposite/adjacent = 3/4. (Note: the original source's answer key labels this 'D', but its own working derives tanθ = 3/4, which is option B; B is the answer consistent with that working.)

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