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WAEC Mathematics 2014 Objective — Question 33

Question 33 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

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Given that cos x = 12/13, evaluate (1−tan x)/tan x.

  • A. 5/13
  • B. 5/7
  • C. 7/5Correct
  • D. 13/5

Explanation

Since cos x=12/13, sin x=5/13, so tan x=5/12. (1−tanx)/tanx = (1−5/12)/(5/12) = (7/12)/(5/12) = 7/5.

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