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JAMB Mathematics 1988 Question 41

Question 41

Trigonometry

If cot θ = x/y, find cosec θ

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

Answer: C ((1/y)√(x2 + y2))

Explanation

Take adjacent side x and opposite side y, so the hypotenuse is √(x² + y²). cosec θ = hypotenuse/opposite = √(x² + y²)/y.