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JAMB Mathematics 1992 Question 34

Question 34

Trigonometry

Given that θ is an acute angle and sin θ = m/n, find cot θ

  1. A.√((n2 − m2)/m)
  2. B.√((n + m)(n − m))/m
  3. C.m/√(n2 − m2)
  4. D.√(n/(n2 − m2))
Show the answer and explanation

Answer: B (√((n + m)(n − m))/m)

Explanation

In a right triangle with opposite side m and hypotenuse n, the adjacent side is √(n2 − m2). So cot θ = √(n2 − m2)/m = √((n + m)(n − m))/m.