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JAMB Mathematics 2003 Question 32

Question 32

Trigonometry

If π/2 ≤ θ ≤ 2π, find the maximum value of f(θ) = 4/(6 + 2cosθ)

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

Answer: B (1)

Explanation

The fraction is largest when the denominator is smallest, at cos θ = −1 (θ = π): f = 4/(6 − 2) = 1.