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JAMB Mathematics 1980 Question 37

Question 37

Trigonometry

Solve the equation for all positive values of θ less than 360°, 3 tan θ + 2 = −1

  1. A.135° or 315°
  2. B.45 or 135°
  3. C.315 or 45
  4. D.315 or 180
  5. E.360 or 315.
Show the answer and explanation

Answer: A (135° or 315°)

Explanation

3 tan θ = −3, so tan θ = −1. Tangent is negative in the 2nd and 4th quadrants: θ = 180° − 45° = 135° or 360° − 45° = 315°.