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

  • Context: High School 
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    Cosine Image Sine
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Discussion Overview

The discussion revolves around the accuracy of visual representations of sine and cosine on a unit circle. Participants explore the clarity and informational content of such diagrams, particularly in relation to their effectiveness for those unfamiliar with the concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the accuracy of a visual representation of sine and cosine on a unit circle.
  • Another participant argues that the representation lacks sufficient information and may not be comprehensible to those without prior knowledge of the relationship between cosine, sine, and the unit circle.
  • A participant shares an attachment with a diagram they believe better illustrates the concepts discussed.
  • Another participant expresses nostalgia for a similar diagram seen in a classroom setting.
  • A different participant also shares an attachment with a diagram, suggesting it is a more effective representation than the initial one.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of the visual representation, with some suggesting improvements while others reflect on their experiences with similar diagrams. No consensus is reached regarding the accuracy of the original representation.

Contextual Notes

Some assumptions about prior knowledge of sine and cosine may limit the discussion's accessibility. The effectiveness of the diagrams is subjective and may depend on individual interpretations.

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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