10.1 Parametric Equations & Polar Coordinates
Curves Defined by Parametric Equations
Question #2 (Medium): Converting Parametric Equations into Cartesian Equation
If the interval for parameter is not given, based on the parametric equations, make intuitive decision
about the reasonable interval for t. Then create a table of values for , , and , using simple integers for
preferably. Then plot the graph. To convert the parametric equations into Cartesian equations, write
the expression for in terms of or , based on one of the parametric equations, then substitute that
expression into the other parametric equation.
1) Sketch the curve based on the parametric equations. Show with an arrow the direction the
curve is traced as t increases.