Understanding Polar and Cartesian Graphs: Comparing Two Coordinate Systems

[opus]

Please see the attached image.
To my understanding, there are two ways to graph a trigonometric function.
One is in the Cartesian Coordinate Plane where we have the values (x,y).
The other is in the Polar Coordinate system where we have the values (r,θ).

In regards to the image that I've attached, are these graphs saying the same thing, just in different coordinate systems?

 

[Dhruv007]

Yes, both the graphs are representing the same function and have the same values if you will convert the coordinate system.

 

[opus]

Great thank you.

 

[Dhruv007]

Your welcome. Anyway, polar coords are confusing

 

[opus]

Just starting learning about them, so I'm sure I'll have questions later.