MathPlotAI Logo MathPlotAI

Sine, Cosine, and the Unit Circle by joelsperanza

Sine, Cosine, and the Unit Circle by joelsperanza
Loading the math board and drawing, please wait…
2015-11-13 18:39
CircleFunctionTrigonometry
This example demonstrates the relationship between sine, cosine, and the unit circle. Key mathematical concepts include trigonometric functions. Using GeoGebra commands such as Intersect, Point, Circle, and Line, sine and cosine curves can be constructed. Suitable for middle school and above students to learn trigonometric functions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Line(B, A) → a
  5. Intersect(c, yAxis, 2) → C
  6. Line(A, C) → b
  7. Point(c) → D
  8. Segment(A, D) → d
  9. Angle(B, A, D) → α
  10. OrthogonalLine(D, xAxis) → e
  11. OrthogonalLine(D, yAxis) → f
  12. Intersect(f, yAxis) → E
  13. Intersect(e, xAxis) → F
  14. Segment(E, D) → g
  15. Segment(D, F) → h
  16. Distance(g, h) → i