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Unit Circle by Callum Marshall

Unit Circle by Callum Marshall
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2018-02-21 03:46
CircleTrigonometry
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, Circle, and Rotate, the example dynamically shows the points and angles on the unit circle. Suitable for students in middle school and above learning geometry and trigonometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(c, xAxis, 2) → B
  4. Rotate(B, θ, A) → B'
  5. Angle(B, A, B') → α
  6. Segment(A, B') → b
  7. OrthogonalLine(B', xAxis) → d
  8. OrthogonalLine(B', xAxis) → a
  9. Intersect(a, xAxis) → C
  10. Segment(A, C) → e
  11. Segment(C, B) → f
  12. Segment(B', C) → g
  13. CircleArc(A, B, B') → k
  14. Tangent(B, c) → m,
  15. Point(e) → D
  16. Point(m) → F
  17. Line(B', D) → n
  18. Intersect(m, n) → E
  19. Segment(D, E) → p
  20. Segment(F, E) → q
  21. Segment(F, E) → r