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

  (1, π/3 +2kπ), (-1, 4π/3 +2kπ) . . . where k is any integer

Step-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.

All the polar coordinates of point P are and , where n is an integer.

Step-by-step explanation:

The given point is

           .... (1)

If a point is defined as

         .... (2)

then the polar coordinates of point P is defined as

where, n is an integer and θ is in radian.

From (1) and (2) we get

So, the polar coordinates of point P are

Therefore all the polar coordinates of point P are and , where n is an integer.

the anwser is d) 75°

step-by-step explanation: