How to Graph Parametric Equations on the TINspire
Press [MENU]→Graph Type→Parametric to switch to parametric graphing mode. Alternatively, move to the entry line and press [CTRL][MENU]→Parametric. Next, follow these steps:

Type the xcomponent equation, using t as the independent variable.
TINspire uses the notation x1(t) for the first xcomponent, x2(t) for the second xcomponent, and so on.

Type the ycomponent equation, using t as the independent variable.
TINspire uses the notation y1(t) for the first ycomponent, y2(t) for the second ycomponent, and so on.

Edit the interval for the variable t and the tstep increment.
By default, parametric graphing is configured in radians with

Press [ENTER] to graph the parametric curve.
Here is an example of a parametric graph.
In the second screen, pressing [CTRL][G] hides the entry line.
The third screen uses Graph Trace (press [MENU]→Trace→Graph Trace) to trace along the graph. Each time you press
or
the trace moves by a value of t equal to tstep.
Many of the features of function graphing (for example, changing attributes, adding a function table, or adding geometric objects to a parametric graph) are available in parametric graphing mode.