Determine the general solution of .

Answer and explanation

Correct answer: D.

  1. Step 1: The reference angle is 45°; tangent is positive in the first and third quadrants and has period 180°, so one formula covers all solutions.
Answer
.
Why not the others: : tangent repeats every 180°, so this misses 225°, 405°, and so on. : 135° has tan 135° = -1, not 1. : 135° has tan 135° = -1, not 1.

Practise more Trigonometry.

Free questions with an explanation for every one, and full timed South Africa Matric mock tests.