In graphing tan2x/sinx I don't get the correct graph. I have tried radian and degree mode. I have a picture of what the graph should look like.

That is a round-about way to solve cos(x)=0.543 by graphing. Use the inverse function of the cosine arccos or cos^-1
If cos(x)=0.543 then x=arccos(0.543)
To graph a trigonometric function it is more natural to use the radian as the unit. However in geometry it is more common to use the degree. To solve an equation like x=arccos(0.543) where you want the answer to be degree, change the document settings to make the default angle unit the degree.








Make the graphing angle unit the degree and set that as default by selecting Make Default and press Enter.

Can you define what you mean by a "diagonal sine function"?

Is it somehow preventing you from graphing, or are you simply not getting the graph you expect?

Most likely you have the angular mode set wrong. You probably want it set to radians. Press MODE, move to the third line, highlight RADIAN, press ENTER, then 2ND [QUIT].

If it's not the angular mode, please reply to this post and give an example or two.

Turn calculator ON
If you see no icons, press Menu
Press 3 (Graph) draw your function. (more on that later).
If the first line of the display show Graph Func : Y= you should be able to draw your function.
If it says anything else, press F3 TYPE to select the graph type and select functional by pressing F1 key Y=.
After the graph type is set to Y=, type the second member of your function y= f(x) on the first line. Make sure the = sign after Y1= remains highlighted after you move cursor. Otherwise select the function by pressing F1:SEL. Press F6 Draw.
Be careful with trigonometric functions. If angle unit is radian, set window Zoom to standard. If angle unit is degree, you must open the Window utility and set Xmin=-190, Xmax = 190 to see at least a period.

The calculator OS (the latest version) has 2 angle settings: Graphing angle and geometry angle.
In Graph mode, Press the menu button, then select Settings, set graphing angle to radians.
Here are some screen captures to help you.
Be sure to validate your changes by pressing OK

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.

Check the angle unit. If Angle unit is set to degree and window is about (-10,10) for X and (-10,10) for Y, you get a straight line. See screen capture.


Use radians. Or if you use degrees, set Xmin about -180 and XMax about180

With radian units the graph looks as follows.

Check the calculator configuration.

I believe it has to do with your angle unit. If you angle unit is set to degree and your default window dimensions are -10, 10, then the sine function will look like y=x ( straight line) and y=cos(X) is approximately 1 in that domain.
Your solution is one of the following.
Use degree as angle unit, but change the window dimensions for x to -180 to 180 and the y-dimensions to the interval -1 to 1.
Use the radian angle unit and leave the Xmin-Xmax interval -10 to 10.

When dealing with trigonometric functions and their inverses one has to make sure the angle unit is chosen accordingly.
I am including a few screen capture to help you do the graph.
First, in Home screen Run the NewProb command to reset the calculator and ready it as a clean slate.


Set the correct angle unit. By default, after the NewProb command the angle unit is reset to Radian. If you want something else change it. See picture. Select 1:radian or 2:Degree.
I will use Radian first.


Press the key sequence that opens the Y= editor. Enter Y1=sin(X)


Remember after a newProb command unit is Radian, Window is standard.
Here is what you get.


Here are the window dimension that gave this picture


Now I am going to change the angle unit to degree and redraw a better framed graph. (I could have done it with the radian unit too.)
As you can see I played with the window dimensions (Xmin=-3*180=-540 and Xmax=3*180=540. The Xscale factor was set to 90 and the range of y-values was reduced to -1.2 to 1.2)

Here is what you get


Before hitting the Graph sequence make sure that the function to be drawn has a check mark to its left (see the 3rd screen capture from the top).

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

Let me know if this works