View Parametric Table and Graph on the Same TI83 Screen
After you have graphed your parametric equations and created a table for the parametric equations, you can view the graph and the table on the same TI83 Plus calculator screen. To do so, follow these steps:

Press [MODE].

Put the calculator in GT screen mode.
To do so, use the
keys to place the cursor on GT in the bottomright corner of the Mode menu and press [ENTER] to highlight it.

Press [GRAPH].
After you press [GRAPH], the graph and the table appear on the same screen.
If you press any key used in graphing parametric equations, such as [ZOOM] or [TRACE], the cursor will become active on the graph side of the screen. To return the cursor to the table, press [2nd][GRAPH].
If you press [TRACE] and then use the
keys to trace the graph, the value of the independent variable T corresponding to the cursor location on the graph will be highlighted in the table and the columns for the parametric equations you’re tracing will appear next to it. If necessary, the calculator will update the table so you can see that row in the table.
To view the graph or the table in full screen mode:

Press [MODE].

Put the calculator in Full screen mode.
To do so, use the
keys to place the cursor on Full in the bottom left hand corner of the Mode menu and press [ENTER] to highlight it.

Press [GRAPH] to see the graph, or press [2nd][GRAPH] to see the table.