Conversion from rectangular coordinates to polar co-ordinates : 

If is a point with rectangular coordinates , the polar coordinates of are given by and

The point in rectangular co-ordinates is .

Conversion to polar coordinates :

Substitute and in .

Substitute and in .

The point in polar coordinates is .

The condition for the point in the polar coordinate is .

The point in polar co-ordinates is .

In the polar coordinates we can represent the point in multiple representations of a point.

The point can also be represented as .

Add half revolution ( radians ) to the angle.

The condition for the point in the polar coordinate is .

The point in polar co-ordinates is .

In the polar coordinates we can represent the point in multiple representations of a point.

The point can also be represented as .

Add to the angle and replace by .

The two sets of the polar coordinates for the point are and .

The point in rectangular co-ordinates is .

Steps to plot the point :

1. Draw a coordinate plane.

2. Plot the point.

Graph of the point .

The two sets of the polar coordinates for the point are and .

Graph of the point .

.