Question

Please help!! Lots of Points! Find all polar coordinates of point P = (6, 31°).

Please explain in steps as well.

Answer 1

1. (6, -329 deg) (-6, 211 deg) (-6, -149 deg)
2. (5, -5pi/3) (-5, 4pi/3) (-5,-2pi/3)

Notice that we have the following signs : (+,+),(+,-),(-,+),(-,-).

If we consider angles beyond 360 deg or 2pi, many other names for these points can be determined.