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JAMB Mathematics 1993 Question 39

Question 39

Trigonometry

If sin θ = cos θ, find θ between 0° and 360°

  1. A.45°, 225°
  2. B.135°, 315°
  3. C.45°, 315°
  4. D.135°, 225°
Show the answer and explanation

Answer: A (45°, 225°)

Explanation

Dividing by cos θ gives tan θ = 1. Tan is positive in the first and third quadrants, so θ = 45° or 180° + 45° = 225°.