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Cosine Function Graph by Roger Lui

Cosine Function Graph by Roger Lui
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2013-04-24 02:39
FunctionTrigonometryGeometric Construction
This example demonstrates how to generate a cosine function graph from a unit circle. Key mathematical concepts include trigonometry. Using GeoGebra commands such as Point, Segment, Angle, etc., the nature of the cosine function can be dynamically illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(c) → P
  2. Segment(P, O) → a
  3. Segment(B, O) → b
  4. Angle(B, O, P) → α
  5. Text("30°") → text1
  6. Text("60°") → text2
  7. Text("90°") → text3
  8. Text("120°") → text4
  9. Text("150°") → text5
  10. Text("180°") → text6
  11. Text("360°") → text7
  12. Text("210°") → text8
  13. Text("240°") → text9
  14. Text("270°") → text10
  15. Text("300°") → text11
  16. Text("330°") → text12
  17. Text("θ = " * α) → text13
  18. Text("P=(" * e * "," * d * ")") → text14
  19. Text("y = cos θ") → text15

AI Drawing Prompt Reference

Draw a unit circle and select several key angle points such as 30°, 60°, 90°, etc. Connect these points to the center to form chords. Label these angles and show their coordinates at each point. Finally, demonstrate the relationship between the cosine function and the y-axis, i.e., y = cos θ.
The prompt above was compiled from the original drawing commands and is for reference only.