Question

Determine two pairs of polar coordinates for the point (2, -2) with 0° ≤ θ < 360°.

(2 square root of 2, 225°), (-2 square root of 2, 45°)

(2 square root of 2, 135°), (-2 square root of 2, 315°)

(2 square root of 2, 315°), (-2 square root of 2, 135°)

(2 square root of 2, 45°), (-2 square root of 2, 225°)

Answer 1

This is because tangent is only negative in the second and fourth quadrant.