WAEC Mathematics 2015 Theory — Question 16

Question 16 of 22 from the West African Examinations Council (WAEC) Mathematics 2015 Theory paper, with the correct answer and a full explanation.

10(a). Without using mathematical tables, simplify: (2tan60°+cos30°)/sin60°

Model answer

tan60°=√3, cos30°=√3/2, sin60°=√3/2. Substituting: [2√3+√3/2] / (√3/2) = [(4√3+√3)/2] / (√3/2) = (5√3/2)×(2/√3) = 5.

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