### 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
• Enter a function f1(θ) in the text input field marked "r=f1(θ)=" (Example: f1(t)=1-sin t)
• Click the "Graph" button (this button also refreshes the graph)
• To see two functions graphed simultaneously:
• Enter the second function f2(t) in the text input field marked "r=f2(θ)="
• Click (to its "on" state) the check box next to this input field
• Click the "Graph" button
(Example: f1(t)=1-sin t, f2(t)=cos  2t)
Up to 5 functions can be graphed simultaneously
• To remove a function from the graph, click (to its "off" state) the check box next to the associated text input fields and click the "Graph" button to refresh
• To erase the graph and all input fields, click the "Clear" button
• The angle θ ranges from θmin.π to θmax.π, measured in radians. The values of θmin and θmax can be changed (in increments of 0.1) by clicking the "+" and "-" buttons under the fields marked "θmin=" and "θmax=". Holding the buttons down causes the action to repeat.
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

Other Notes
The bounds θmin and θmax apply to all functions graphed.