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Unit Circle and Trig Functions Definitions

Unit Circle and Trig Functions Definitions
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2016-11-28 08:26
CircleFunctionTrigonometry
This example demonstrates the X, Y, R definitions of trigonometric functions using the unit circle. It covers key concepts of trigonometry and uses commands like Circle, Segment, OrthogonalLine, Angle, and Distance in GeoGebra. Suitable for high school math education to help students understand the geometric meaning of trigonometric functions.

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) → R
  6. Segment(A, B) → g
  7. OrthogonalLine(C, g) → h
  8. Intersect(h, xAxis) → D
  9. Segment(D, A) → X
  10. Segment(D, C) → Y
  11. Angle(C, D, A) → α
  12. Angle(B, A, C) → θ
  13. Distance(A, D) → distanceAD
  14. Distance(D, C) → distanceDC
  15. Distance(A, D) → a
  16. Distance(A, C) → distanceAC