MathPlotAI Logo MathPlotAI

Unit Circle by Mr Isbester

Unit Circle by Mr Isbester
Loading the math board and drawing, please wait…
2018-09-03 11:26
CircleTrigonometryGeometric Construction
In collections Trigonometry with the unit circle
This example demonstrates the unit circle. It involves key mathematical concepts such as circle properties and trigonometric functions. Using GeoGebra commands like Intersect, Point, and Segment, points on the unit circle and angles can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(f) → B
  3. Segment(A, B) → g
  4. OrthogonalLine(B, xAxis) → h
  5. Intersect(h, xAxis) → C
  6. Segment(A, C) → i
  7. Segment(C, B) → j
  8. Angle(C, A, B) → θ
  9. Intersect(f, xAxis, 2) → D
  10. OrthogonalLine(B, j) → k
  11. Intersect(f, k, 2) → E
  12. Segment(E, B) → l
  13. OrthogonalLine(C, i) → m
  14. Intersect(f, h, 2) → F
  15. Segment(F, C) → n
  16. Point(xAxis) → G
  17. Angle(G, A, B) → α
  18. Point(xAxis) → H
  19. Point(xAxis) → J
  20. Point(yAxis) → K

AI Drawing Prompt Reference

Draw a unit circle with the origin as the center, create a vertical line from the origin to point B on the circle, connect the origin to B, then draw a perpendicular line from B to the x-axis intersecting at C, connect AC and CB, and measure angle θ. Next, create points D and E on the x-axis, and point F on the y-axis, and connect these points to form related segments and measure angle α.
The prompt above was compiled from the original drawing commands and is for reference only.