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Unit Circle Demonstration by joelsperanza

Unit Circle Demonstration by joelsperanza
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2017-02-25 17:14
CircleAngleVectorTrigonometryGeometric Construction
This example demonstrates the geometric construction of the unit circle and its relationship with trigonometric functions. It involves core math concepts like circle, angle, vector, and trigonometry. GeoGebra commands and objects used include Intersect, Point, Circle, Segment, Angle, Distance, Circumference, and PointIn. Suitable for high school mathematics teaching to help students visually understand the definition of trigonometric functions and vector representation.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Point(c) → C
  5. Segment(A, C) → f
  6. Segment(B, A) → g
  7. Angle(B, A, C) → α
  8. Intersect(h, y = 0) → D
  9. Segment(C, D) → i
  10. Segment(D, A) → j
  11. Distance(C, D) → distanceCD
  12. Distance(A, D) → distanceAD
  13. Distance(A, C) → distanceAC
  14. Circumference(c) → circumferencec
  15. PointIn(c) → Pointc