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WAEC Further Mathematics 2019 Question 2

Question 2

Trigonometry

Evaluate tan 75°, leaving the answer in surd form (radicals).

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

Answer: A (√3 + 2)

Explanation

tan 75° = (1 + 1/√3)/(1 − 1/√3) = (√3 + 1)/(√3 − 1) = (4 + 2√3)/2 = 2 + √3.