JAMB Mathematics 2010 Objective — Question 38

Question 38 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

38. If cot theta = 8/15, where theta is acute, find sin theta. A. 15/17 B. 8/17 C. 15/8 D. 8/15

• A. 15/17Correct
• B. 8/17
• C. 15/8
• D. 8/15

Explanation

cot theta = 8/15 means tan theta = 15/8 = Opp/Adj. By Pythagoras: H^2=15^2+8^2=289, H=17. sin theta = Opp/Hyp = 15/17.

Advertisement