Find all polar coordinates of point p = (2, 14°).

Solution:

The polar point is p = (2, 14°).

The polar coordinate can be written as (r, θ) = (r, θ + 2nπ) or (-r, θ + 2(n + 1)π), where n is any integer.

For the positive value of r ,

The polar coordinate can be written as (2, 14 + 360n) where n is any integer.

For the negative value of r,

The polar coordinate can be written as (-2, 14 + (n + 1)360), where n is any integer.

All the polar coordinates of point P are (2, 14 + 360n) and (-2, 14 + 360n) .

Find all polar coordinates of point p = (2, 14°).

Summary:

All polar coordinates of point p = (2, 14°) are (2, 14 + 360n) and (-2, 14 + 360n).