Find Exact Values of Sin, Cos and Tan with Graph Symmetry

[Casio1]

Hi,

I have included a sketch drawing of a graph that I am not entiry sure is correct for what I am trying to do?

I have found the exact values of Sin, Cos and Tan of some given values in radians, and am asked to use the symmetry of graphs of sin, cos and tan to find the exact values of some more given data in radians.

I don't want the work to be done for me, but would appreciate some help how to either draw the graphs or recommend a piece of software that will draw the graphs, but allow me to enter the data in radians (exact form) for presentation.

Kind regards

Casio

 

[pickslides]

You can graph the trig functions in ms-excel to be used for presentation.

When finding addtional solutions add/subtract the period to your initial solutions

 

[Sudharaka]

Hi,

I have included a sketch drawing of a graph that I am not entiry sure is correct for what I am trying to do?

I have found the exact values of Sin, Cos and Tan of some given values in radians, and am asked to use the symmetry of graphs of sin, cos and tan to find the exact values of some more given data in radians.

I don't want the work to be done for me, but would appreciate some help how to either draw the graphs or recommend a piece of software that will draw the graphs, but allow me to enter the data in radians (exact form) for presentation.

Kind regards

Casio

Hi Casio, :)

One online graphing tool that you can use is the >>Desmos Graphing Calculator<<. What particular set of points do you want to mark on the graph?

Kind Regards,
Sudharaka.

 

[Casio1]

Thanks for the replies I have marked thanks for all.

The software requires me to update to windows 9 however if I do that as I did once before, the bugs they had not sorted out caused me problems on my computer, so I am unsure about that now?

I must admit though I did not think about Excell to do it as the templates on there seem limited and I have not seen anything on that program to create circles in conjunction with sine waves, so if that is possible with excell it will be a fast learning curve for me;)What I want to do if my diagram is anything like what it should be is to plot some points on the graph and instead of writing degrees on the graph, I would like to use radians, i.e. pi/3 on the graph.

kind regards

Casio (Smile)

 

[CellCoree]

Dear Casio,

Thank you for reaching out for assistance with your graphing project. I am happy to help you understand how to use graph symmetry to find the exact values of sin, cos, and tan.

Firstly, I would recommend using a graphing calculator or online graphing tool that allows you to enter data in radians. This way, you can easily plot the points and see the symmetry of the graph.

To find the exact values of sin, cos, and tan using graph symmetry, you can follow these steps:

1. Plot the given data points on the graph in radians.
2. Look for any patterns or symmetries in the graph.
3. For sin, the graph is symmetric about the origin (0,0). This means that if you draw a line through the origin, the points on one side of the line will have the same y-coordinate as the points on the other side, but with opposite signs. Using this symmetry, you can easily find the exact values of sin for any given data point.
4. For cos, the graph is symmetric about the y-axis. This means that if you draw a line through the y-axis, the points on one side of the line will have the same x-coordinate as the points on the other side, but with opposite signs. Using this symmetry, you can find the exact values of cos for any given data point.
5. For tan, the graph is symmetric about the origin and the x-axis. This means that if you draw a line through the origin and the x-axis, the points on one side of the line will have the same x and y coordinates as the points on the other side, but with opposite signs. Again, using this symmetry, you can easily find the exact values of tan for any given data point.

I hope this helps you understand how to use graph symmetry to find the exact values of sin, cos, and tan. If you have any further questions, please don't hesitate to ask.

Best regards,