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Unit Circle 2

Unit Circle 2
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2019-01-01 06:09
CircleTrigonometryGeometric Construction
This example demonstrates the geometric construction of a unit circle. Key mathematical concepts include the properties of circles and angle measurement. Using GeoGebra commands such as Intersect, Point, Line, etc., it dynamically shows the relationship between points on the unit circle and angles. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → K
  2. Point(xAxis) → J
  3. Point(yAxis) → G
  4. Line(G, xAxis) → i
  5. Intersect(k, i) → H, I
  6. Angle(H, K, J) → β
  7. Intersect(xAxis, yAxis) → F
  8. Point(xAxis) → C
  9. Line(C, yAxis) → f
  10. Circle(C, Opposite) → d
  11. Intersect(d, f) → D, E
  12. Angle(E, F, C) → α
  13. Circle(A, a) → e
  14. Textfield(a) → InputBox1
  15. Point(e) → B
  16. Textfield(Opposite) → InputBox2
  17. Circle(F, b) → g
  18. Element(list, SideSetting) → h
  19. Textfield(A11) → InputBox3
  20. Circle(K, j) → p
  21. Mirror(E, xAxis) → E'
  22. Mirror(H, yAxis) → H'
  23. Line(B, yAxis) → l
  24. Intersect(l, xAxis) → L
  25. OrthogonalLine(H, xAxis) → n
  26. OrthogonalLine(H', xAxis) → q
  27. Intersect(n, xAxis) → M
  28. Intersect(q, xAxis) → N
  29. Textfield(θ) → InputBox4
  30. Rotate(L, θ, F) → L'
  31. Angle(L, F, L') → δ
  32. Ray(F, L') → r