WAEC Mathematics 2017 Objective — Question 26
Question 26 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.
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Given that cos30°=sin60°=√3/2 and sin30°=cos60°=1/2, evaluate (tan60°-1)/(1-tan30°)
- A. A. √3-2
- B. B. 2-√3
- C. C. √3Correct
- D. D. -2
Explanation
tan60°=√3, tan30°=1/√3. (√3-1)/(1-1/√3) = (√3-1)/((√3-1)/√3) = √3.
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