Examples of the use of parametric
equations
Set MODE: Par,
Radian, and ZOOM: ZStandard, ZSquare,
2nd FORMAT: AxesOff.
Change WINDOW to Tmin=0, Tmax=8π.
Enter.
\X1T=(1+.4T)cos(T)
\Y1T=(1+.4T)sin(T)
GRAPH
Explain what happened.
Enter.
\X1T=(1+.4T)cos(T)
\Y1T=(1+.4T)sin(-T)
GRAPH
What is the difference?
Enter.
\X1T=(10-.4T)cos(T)
\Y1T=(10-.4T)sin(-T)
GRAPH
What happened now?
Enter.
\X1T=(1+.4T)cos(T)
\Y1T=(1+.4T)sin(-2T)
GRAPH
What happened now?
Carry out your own explorations.