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WAEC Mathematics 2018 Objective — Question 24

Question 24 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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If tan x = 4/3, 0° < x < 90°, find the value of sin x − cos x.

  • A. 1/10
  • B. 1/5Correct
  • C. 5/12
  • D. 1⅕

Explanation

For a 3-4-5 triangle, sinx=4/5, cosx=3/5, so sinx−cosx=1/5.

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