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Unit Circle Exploration by Andrew Gandert

Unit Circle Exploration by Andrew Gandert
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2016-09-26 20:01
CircleAngleTransformation
This example demonstrates the basic properties of the unit circle and its rotation transformations. Key mathematical concepts include circles, angles, and rotations. Using GeoGebra commands such as Intersect, Rotate, and Angle, dynamic displays of points on the unit circle and their angle relationships are shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(c, xAxis, 2) → B
  4. Rotate(B, α, A) → B'
  5. Angle(B, A, B') → β
  6. SurdText(B') → text1
  7. Segment(A, B') → f
  8. Line(A, B) → g
  9. OrthogonalLine(B', g) → h
  10. Intersect(g, h) → C
  11. Segment(B', C) → i
  12. Segment(A, C) → j
  13. SurdText(j) → text2
  14. Midpoint(A, C) → D
  15. SurdText(i) → text3
  16. Midpoint(C, B') → E
  17. SurdText(i) → text8
  18. SurdText(j) → text9
  19. SurdText(i / j) → text10