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WAEC Further Mathematics 2009 Question 5

Question 5

Trigonometry

Given that sin θ = √3/2 where θ is acute, find the value of tan 2θ, leaving your answer in surd form.

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

Answer: A (−√3)

Explanation

θ = 60°, so tan 2θ = tan 120° = −tan 60° = −√3.