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

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Discussion Overview

The discussion revolves around finding exact values of sine, cosine, and tangent using graph symmetry. Participants explore how to graph these functions and seek recommendations for software tools that can facilitate this process, particularly focusing on inputting data in radians.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • Casio expresses uncertainty about a sketch of a graph and seeks assistance in drawing graphs of sine, cosine, and tangent functions.
  • Some participants suggest using Microsoft Excel for graphing the trigonometric functions and mention adding or subtracting the period to find additional solutions.
  • Another participant recommends the Desmos Graphing Calculator and asks Casio for specific points to mark on the graph.
  • Casio raises concerns about updating software due to previous issues and discusses the limitations of Excel templates for creating circles alongside sine waves.
  • Casio expresses a desire to plot points using radians, such as pi/3, instead of degrees on the graph.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best software for graphing, as different tools are suggested, and concerns about software updates remain unresolved.

Contextual Notes

Participants mention specific software limitations and the need for certain features, such as the ability to input radians and create circles, but do not resolve these issues.

Who May Find This Useful

Individuals interested in graphing trigonometric functions, particularly in educational settings or those looking for software tools for mathematical presentations.

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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