Im trying to graph a parametric equation and whenever the equation has an exponent/power in it the calculator says Syn error so i know how to graph x=2 cos T, y=2 sin T and similar equations without a exponent but i cant graph x=sin^3 T, y=cos^3 T and also i cant graph x=2 cot T, y=2 sin^2 T because i dont know how 2 enter the cot or exponent without getting a Syn error. could you tell me how to graph these equations on my casio fx-9750G Plus calculator step by step?

In parametric functions, the variables x and y are both functions of an independent variable, called t, and that usually represents the time. The default variable in parametric functions must be called t. You can enter the limits you want. However if you type in 2 Pi it will be converted on the entry line to 6.28. The default tstep is 0.13 which is about pi/24. I fail to see what the commotion is about.
In this representation of the witch of Agnesi, the variable t is between 0 and 4Pi, and the step tstep is 0.13, a little less that pi/24
Reset your calculator and restart

Reset the calculator and restart your graphing.

Your calculator does not have graphing capabilities. On a graphing calculator you would first select the graph type 1. function y= f(x), 2. parametric x=x(t), y=y(t), 3.polar r=function(theta).

This happened to me. I left my calculator open in my bag and accidentally on the 20th function there was a multiply sign, so the calculator would directly output syntax error. Scroll down and check all your function slots are clear.

The calculator does not support 3D parametric functions, but there is a procedure that will help you do that. Here is the link to the page that describes it.

Sure it does! Did you ask it to graph?Here are some screen captures to help you find your way.
To draw functions (regular, parametric, polar, sequences) use the application graph: Highloghted on 1st screen capture. The second screen captures shows you the functions y=f(x). enter a legal expression and press F6 Draw. To set TYPE press the key under TYPE.



To draw conics (circles, parabolas, hyperbolas, and ellipses) use the CONiCS applications. (See 3rd screen ). On 4th capture the equation highlight is one for the parabola. y=x^2



Scroll down or up examining the small graphs. They will show you which equation form to choose.
For the circles

At first, you have to use t symbol for parametric functions when you operating with TI 89 Titanium. In your case you must input your relations as x1=3cos(t) and y1=2sin(2t). Then graphing it. See captured image

Here is a screen capture to help you pinpoint the location of the error.

A circle is not a function and cannot be graphed in the regular y=screen. You can graph a circle in parametric mode.

To graph a circle in the regular y= screen, you have to graph it in 2 lines on the y= screen. I assume you've solved for y and gotten a square root equation. Remember a square root can be positive or negative. In line 1 of y= screen graph what you've been graphing and then graph the same equation in line 2 but with a negative in front of the equation. You'll get something that looks like an oval since the calculator screen is rectanglular. To make it look more circular (both parts aren't going to connect), press zoom and then select #5 (square).

See carefully captured images below