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WAEC Mathematics 2015 Objective — Question 23

Question 23 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

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Given that tan x = 2/3, where 0°≤x≤90°, find the value of 2 sin x.

  • A. 2√13/13
  • B. 3√13/13
  • C. 4√13/13Correct
  • D. 6√13/13

Explanation

With opposite=2, adjacent=3, hypotenuse=√13. sin x = 2/√13. So 2 sin x = 4/√13 = 4√13/13.

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