JAMB Mathematics 2007 Question 49

Question 49

Trigonometry

Find the value of (tan 60° − tan 30°)/(tan 60° + tan 30°)

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

Answer: D (1/2)

Explanation

tan 60° = √3 and tan 30° = 1/√3: (√3 − 1/√3)/(√3 + 1/√3) = (2/√3)/(4/√3) = 1/2.