## 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.^{ }