### Graphing Parametric Equations

Graphs as many as 3 curves specified parametrically, as x=f(t) and y=g(t), with parameter t.
How to use   ||   Examples   ||   Other Notes

How to use
• Enter functions x1(t) and y1(t) in the text input fields marked "x1(t)=" "y1(t)=" (Example: x1(t)=cos t, y1(t)=sin t)
• Click the "Graph" button (this button also refreshes the graph)
• To see two parametric curves graphed simultaneously:
• Enter the second set of functions x2(t) and y2(t) in the text input fields marked "x2(t)=" "y2(t)="
• Click (to its "on" state) the check box next to these input fields
• Click the "Graph" button
(Example: x1(t)=cos t, y1(t)=sin t; x2(t)=t-1, y2(t)=1-t)
Up to 3 curves 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 parameter t ranges from tmin to tmax. The values of tmin and tmax can be changed (in increments of 0.1) by clicking the "+" and "-" buttons under the fields marked "tmin=" and "tmax=". 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
 Line: x1(t)=t-1 y1(t)=1-t Circle: x1(t)=cos t y1(t)=sin t Polar curve: x1(t)=cos 5t cos t y1(t)=cos 5t sin t Cycloid: x1(t)=t-sin t y1(t)=1-cos t

Other Notes
The bounds tmin and tmax apply to all functions graphed.