Calculator why won't my calculator graph sin pie right

There is nothing mysterious about it. Wittingly or not, you
switched the window limits.
Examples
Xmin=6.3, Xmax=-6.3
Ymin=3, Ymax=-3
or some other combinations.
Here is the 1st case (Xmin=6.3, Xmax=-6.3, Ymin=-3, Ymax=3).
The traced point has positive x


Complete switch. The graph looks correct but as
you can see the traced point has positive x,
and negative y.


I did not think the calculator would be that tolerant.

There is nothing to convert, because if T is a real number so is 40sin(4000T).
40sin(4000T)=40abs(sin(4000T))*sign(sin(4000T))
where abs() is the absolute value of it argument, and sign(sin(4000T)) is positive or negative.
So in (radius, angle) polar coordinates
r= 40 abs(sin(4000T)),
theta =(0, or PI), depending on sign(sin(4000T))

If you are trying to graph parametric functions, this calculator does not do graphs, and you need another function of T

What does your graph look like? Do you have the proper angular mode set?

Make sure you have the angular mode set to radians. In degree, the graph of sine(x) is nearly a straight line for small values of x.

Set your calculator to RAD mode and then graphing functions.
See example for y=sin x

Look for a key y= (y= editor). type in the right side of the function sin(x), press Draw or graph. After a graph is drawn, and if it is not well centred play with the Windows dimensions, or the Zoom functions.

Set your calculator to RAD mode and then graphing functions.
See example for y=sin x

The calculator is set up to produce exact results. If you want the expression to be evaluated put a decimal mark at the end of the 4.
to making 4 a floating point number instead of integer.
Alternatively, press the [MODE] key. Scroll down through the pages of options until you reach the line labeled Exact/Approx. When cursor is on that line, use the right arrow key to open the menu. Select [3:Approximate]. Press [ENTER] to save.

Are you in degrees instead of radians? I get two small bars at either end of the screen when in degrees and a more readable graph when in radians.

try seeing if the mode is in radians or degrees, it must be in radians

Let me know if this works