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JAMB Mathematics 2010 Question 38

Question 38

Trigonometry

If cot θ = 8/15, where θ is acute, find sin θ.

  1. A.13/15
  2. B.15/17
  3. C.8/17
  4. D.16/17
Show the answer and explanation

Answer: B (15/17)

Explanation

tan θ = 15/8, so the opposite side is 15, the adjacent 8 and the hypotenuse √(225 + 64) = 17. sin θ = 15/17.