Visualizing Sine and Cosine on a Unit Circle: Accurate or Not?

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SUMMARY

The discussion centers on the accuracy of visualizing sine and cosine on a unit circle. Participants agree that the representation lacks sufficient information for those unfamiliar with the concepts. Specifically, it is emphasized that cosine corresponds to the x-coordinate and sine to the y-coordinate of points on the unit circle. An attached diagram is referenced as a more effective illustration of these relationships.

PREREQUISITES
  • Understanding of trigonometric functions, specifically sine and cosine
  • Familiarity with the unit circle concept in mathematics
  • Basic knowledge of coordinate systems
  • Ability to interpret mathematical diagrams and graphs
NEXT STEPS
  • Research the mathematical properties of the unit circle
  • Explore graphical representations of trigonometric functions
  • Learn about the relationship between sine, cosine, and angles
  • Investigate educational tools for teaching trigonometry effectively
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Students, educators, and anyone interested in understanding trigonometric functions and their graphical representations on the unit circle.

mathzeroh
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Is this an accurate way of displaying sine and cosine on a unit circle? :wink:
 

Attachments

  • sine.JPG
    sine.JPG
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Well, it doesn't really contain much information, and would probably not make sense to anyone who doesn't already know that the cosine is the x coordinate of points along the unit circle and the sine is the y coordinate.

- Warren
 
See the attachment for a diagram that illustrates what I believe you were trying to say.
 

Attachments

Nice, I remember seeing that on the blackboard in my class a few years ago. :smile:
 
Zorodius said:
See the attachment for a diagram that illustrates what I believe you were trying to say.

i think that's a much better representation.
 

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