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WAEC Mathematics 2009 Question 25

Question 25

Trigonometry

Given that sin 60° = √3/2 and cos 60° = 1/2, evaluate: (1 − sin 60°)/(1 + cos 60°)

  1. A.(2 + √3)/3
  2. B.(1 − √3)/3
  3. C.(1 + √3)/3
  4. D.(2 − √3)/3
Show the answer and explanation

Answer: D ((2 − √3)/3)

Explanation

(1 − √3/2)/(3/2) = ((2 − √3)/2) × (2/3) = (2 − √3)/3.