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JAMB Mathematics 1998 Question 36

Question 36

Trigonometry

For what value of x does 6 sin(2x − 25)° attain its maximum value in the range 0° ≤ x ≤ 180°?

  1. A.12½
  2. B.32½
  3. C.57½
  4. D.147½
Show the answer and explanation

Answer: C (57½)

Explanation

Sine is greatest when the angle is 90°: 2x − 25 = 90, so x = 57½.