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Unit Circle Demo

Unit Circle Demo
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2018-07-25 17:28
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the construction of a unit circle and its relationship with trigonometric functions. Core math concepts include circle, trigonometry, vectors, and coordinate geometry. Construction involves commands like Intersect, Circle, Mirror, Point, Segment, Angle, OrthogonalLine, and Line. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Mirror(B, yAxis) → B'
  4. Mirror(B, xAxis) → B'_1
  5. Mirror(B', xAxis) → B''
  6. Mirror(C, yAxis) → C'
  7. Mirror(C', xAxis) → C''
  8. Mirror(C'', yAxis) → C'''
  9. Mirror(D, yAxis) → D'
  10. Mirror(D', xAxis) → D''
  11. Mirror(D'', yAxis) → D'''
  12. Point(c) → I
  13. Segment(I, A) → g
  14. Angle(E, A, I) → α
  15. OrthogonalLine(I, xAxis) → h
  16. Intersect(h, xAxis) → Q
  17. Line(A, Q) → i
  18. Segment(I, Q) → j
  19. Segment(A, Q) → k