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Interactive Unit Circle 6.5

Interactive Unit Circle 6.5
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2018-05-11 10:07
CircleTrigonometryCalculus
This example demonstrates an interactive unit circle, involving concepts such as unit circle, integers, and differential calculus. Using GeoGebra commands like Intersect, Circle, Mirror, etc., it dynamically shows properties of points on the unit circle. Suitable for high school and above students and teachers.

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