Q:

Find all polar coordinates of point P where P = ordered pair 1 comma pi divided by 3.

Accepted Solution

A:
Answer:   (1, π/3 +2kπ), (-1, 4π/3 +2kπ) . . . where k is any integerStep-by-step explanation:Adding any multiple of 2π to the angle results in the same point in polar coordinates.Adding 180° (π radians) to the point effectively negates the magnitude. As above, adding any multiple of 2π to this representation is also the same point in polar coordinates.There are an infinite number of ways the coordinates can be written.