JAMB Mathematics 2011 Question 34

Question 34

Trigonometry

In a right angled triangle, if tanθ = 3/4. What is cosθ − sinθ?

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

Answer: C (1/5)

Explanation

A 3-4-5 triangle gives sin θ = 3/5 and cos θ = 4/5, so cos θ − sin θ = 1/5.