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Function and Geometry on the Unit Circle

Function and Geometry on the Unit Circle
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2025-01-30 01:55
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This example demonstrates the drawing of function graphs on the unit circle and their geometric relationships. Key mathematical concepts include functions, circles, geometric construction, and coordinate geometry. Construction involves GeoGebra commands such as Circle, Mirror, Tangent, etc. Suitable for middle or high school mathematics learning to understand the connection between functions and g

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → discoUnidad
  2. Mirror(f, discoUnidad) → f'
  3. Textfield(f) → CasillaDeEntrada1
  4. Point(xAxis) → P
  5. Mirror(P, discoUnidad) → P'
  6. Line(B, C) → g
  7. Mirror(g, discoUnidad) → g'
  8. Mirror(t1, discoUnidad) → t1'
  9. Mirror(A, discoUnidad) → A'
  10. Line((0, 0), A) → r
  11. Semicircle((0, 0), A) → d
  12. Intersect(discoUnidad, d, 1) → G
  13. OrthogonalLine(G, r) → h
  14. OrthogonalLine(A, r) → i
  15. Intersect(discoUnidad, i, 2) → H
  16. Tangent(H, discoUnidad) → j,