MathPlotAI Logo MathPlotAI

Basic Unit Circle

Basic Unit Circle
Loading the math board and drawing, please wait…
2017-09-13 03:13
CircleTrigonometry
This example demonstrates the basic concept of the unit circle, involving core trigonometric concepts. Using GeoGebra commands such as rotation, angle, and line, it shows the relationship between points on the unit circle and angles. Suitable for students at junior high school level and above to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Rotate(G, α, H) → G'
  5. Angle(G, H, G') → Θ
  6. Line(H, G') → f
  7. OrthogonalLine(G, xAxis) → g
  8. Intersect(f, g) → D
  9. OrthogonalLine(G', xAxis) → h
  10. Intersect(h, xAxis) → E
  11. Segment(E, G') → i
  12. Segment(H, D) → j
  13. Segment(H, G') → k
  14. Segment(H, E) → l
  15. Segment(D, G) → m
  16. OrthogonalLine(G', yAxis) → n
  17. Intersect(n, yAxis) → F
  18. Segment(F, G') → p