Q:

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

Accepted Solution

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