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Graphing Cosine from Wrapping Function

Graphing Cosine from Wrapping Function
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2015-06-21 00:20
FunctionTrigonometryCoordinate GeometryGraphing
This example demonstrates how to graph the cosine function using a wrapping function approach. Key math concepts include rotation functions, unit circle, and trigonometric relationships. GeoGebra commands and objects used in the construction are Intersect, Circle, OrthogonalLine, Segment, Textfield, If, Mod, and Arc. Suitable for high school students learning trigonometry and analytical geometry, it helps visualize the geometric origin of function graphs.

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