The parametric equations are ,
where
.
Construct a table for different values .
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Graph :
\1) Draw the coordinate plane.
\2) Plot the points.
\3) Connect those points with a smooth curve.
\The arrow mark represents the orientation of the parametric equations.
\Find the rectangular equation of the curve.
\Consider .
Solve for .
Substitute in
.
.
The rectangular equation of the curve is .
Graph:
\The rectangular equation of the curve is .