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JAMB Mathematics 1984 Question 43

Question 43

Trigonometry

If sin θ = x/y and 0° < θ < 90° then find 1/tan θ

  1. A.x/√(y2 − x2)
  2. B.y/x
  3. C.√(y2 − x2)/x
  4. D.√(y2 + x2)/√(y2 + x2)
  5. E.√(x2 − y2)/y
Show the answer and explanation

Answer: C (√(y2 − x2)/x)

Explanation

With opposite side x and hypotenuse y, the adjacent side is √(y² − x²). 1/tan θ = adjacent/opposite = √(y² − x²)/x.