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JAMB Mathematics 1991 Question 41

Question 41

Trigonometry

If cos x = √(a/b), find cosec x.

  1. A.b/√(b − a)
  2. B.√(b/a)
  3. C.√(b/(b − a))
  4. D.√((b − a)/b)
Show the answer and explanation

Answer: C (√(b/(b − a)))

Explanation

sin2x = 1 − a/b = (b − a)/b, so sin x = √((b − a)/b) and cosec x = √(b/(b − a)).