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Cosine Graph from the Unit Circle

Cosine Graph from the Unit Circle
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2015-06-21 03:55
CircleFunctionTrigonometryGeometric ConstructionSlider Animation
This example demonstrates how to construct the cosine graph using a point moving around the unit circle. Key mathematical concepts include the unit circle, cosine function, and its geometric interpretation. GeoGebra commands used include rotation, intersection, and angle measurement. Suitable for high school mathematics education, particularly in coordinate geometry and trigonometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(c, xAxis, 2) → B
  4. Rotate(B, ((57.3 * α))°, A) → B'
  5. OrthogonalLine(B', xAxis) → a
  6. Intersect(a, xAxis) → C
  7. Segment(C, A) → Length
  8. Segment(A, B') → b
  9. Segment(A, B) → d
  10. Angle(B, A, B') → γ
  11. OrthogonalLine(D, xAxis) → e
  12. Intersect(e, xAxis) → E
  13. Segment(D, E) → f
  14. Name(α) → A1_1
  15. Name(f) → B1_1
  16. Name(α) → A1
  17. Name(f) → B1
  18. Segment(B', C) → g