# How do you graph polar coordinates?

##### 1 Answer

To establish *polar coordinates* on a plane, we choose a point *pole*, and a ray from this point to some direction *polar axis* (usually drawn horizontally).

Then the position of every point *polar angle* *polar axis* counterclockwise to a ray connecting the origin of coordinates with our point *radians*) and by the length

To graph a function in polar coordinates we have to have its definition in polar coordinates.

Consider, for example a function defined by the formula

The function defined by this equality has a graph that starts at the origin of coordinates

Then, as a polar angle

After the first full circle the point on a graph will hit the polar axis at a distance