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JAMB Mathematics 1985 Question 38

Question 38

Trigonometry

If cos θ = √3/2 and θ is less than 90°, calculate cot (90 − θ)/sin2 θ

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

Answer: A (4√3/3)

Explanation

θ = 30°. cot 60° = 1/√3 and sin² 30° = ¼, so the value is 4/√3 = 4√3/3.