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

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SUMMARY

The discussion focuses on finding exact values of sine, cosine, and tangent using graph symmetry. The user, Casio, seeks assistance in graphing these functions and mentions using software tools like Microsoft Excel and Desmos Graphing Calculator for this purpose. Key points include the importance of understanding the periodic nature of trigonometric functions and the need to represent angles in radians rather than degrees. The conversation highlights the challenges faced with software compatibility and the desire for effective graphing solutions.

PREREQUISITES
  • Understanding of trigonometric functions: sine, cosine, and tangent
  • Familiarity with graph symmetry in trigonometry
  • Basic knowledge of radians and their representation
  • Experience with graphing tools such as Desmos or Microsoft Excel
NEXT STEPS
  • Explore the features of the Desmos Graphing Calculator for plotting trigonometric functions
  • Learn how to create custom graphs in Microsoft Excel, including plotting points in radians
  • Study the periodic properties of sine, cosine, and tangent functions
  • Investigate online resources for graphing tools that support radians
USEFUL FOR

Students, educators, and anyone interested in mastering trigonometric functions and their graphical representations, particularly those looking to enhance their skills in using graphing software.

Casio1
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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
 

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Physics news on Phys.org
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
 
Casio said:
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.
 
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)
 

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