Graphing in Polar Coordinates

Graphs as many as 5 functions of the form r=f(θ) in polar coordinates.
How to use   ||   Examples   ||   Other Notes


How to use
The text input fields can accept a wide variety of expressions to represent functions, and the buttons under the graph allow various manipulations of the graph coordinates.
Examples
Circles:
f1(t)=1
f2(t)=sin t
f3(t)=cos t    
"Rose" curves:
f1(t)=cos 2t
f2(t)=sin 5t    
Cardioid:
f1(t)=1-sin t    
Limaçon:
f1(t)=1-2sin t