By Ronald Aguilar

Here we are looking at polar equations. Polar equations are math functions in the form of using the polar coordinate system. The graph below is the form . As you can see it looks like a spiral. In order to graph these functions the points are in the form (r, ). r is the polar distance and is the polar angle.

Here is the equation below for the graph . This is an example of a cardioid, a certain curve to limacons. As you can see it has a heart shape.

Equations of cardioids have * a* and

Lets see what happens if change the * a* and

There are different kinds of polar equations such as circles, limacons, cardiods, and etc...

We MUST use the following conversions to find a polar equation: , ,

In order to convert the equations from rectangular form(what does this mean) to polar form we must set solve * r* in terms of . We cannot divide the equation by

In order to help graph polar equations there are three different types of symmetry that must be noted and examined. This symmetry along the x-axis, y-axis, and the origin. So the polar axis, the line , and the pole.

Equations of limacons cannot have * a* and

Rose petal curves have the equations in form of or .