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Graph of Cosine from Wrapping Function by Doug Kuhlmann

Graph of Cosine from Wrapping Function by Doug Kuhlmann
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2015-06-21 00:22
FunctionTrigonometryCoordinate Geometry
This example demonstrates the graph of the cosine function through a wrapping function. Key mathematical concepts include trigonometry and coordinate geometry. It uses commands like Circle, Arc, Intersect, and Textfield in GeoGebra. 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. OrthogonalLine(W, xAxis) → a
  4. Intersect(xAxis, a) → B
  5. Segment(B, W) → b
  6. Segment(B, A) → d
  7. Segment(A, W) → e
  8. Textfield(speed) → SPD
  9. Textfield(t) → tEq
  10. If(togTr ≟ 1, "Stop Traces", "Show Traces") → ControlTraces
  11. If(togA ≟ 1, "Stop Animation", "Start Animation") → ToggleAnimation
  12. Circle(A, B) → h
  13. Mod(t, 1.5707963267948966) → tm
  14. Circle((0, 0), abs(cos(t))) → k
  15. Arc(k, (cos(t), 0), (0, cos(t))) → p