MathPlotAI Logo MathPlotAI

Unit Circle Trigonometry Demo

Unit Circle Trigonometry Demo
Loading the math board and drawing, please wait…
2015-02-20 13:21
CircleTrigonometryGeometric ConstructionGraphing
This example demonstrates trigonometric relationships on the unit circle through interactive experiments. It covers core concepts like trigonometric definitions, coordinate geometry, and angle measurement. Constructed using GeoGebra commands such as Circle, Point, Polygon, and Angle, it is suitable for high school mathematics instruction and student exploration of trigonometric properties.

GeoGebra Commands & Parameters

  1. Circle(O, 1) → circle
  2. Point(circle) → P
  3. Polygon(O, A, P) → poly1, cosθ, sinθ, a
  4. Angle(U, O, P) → θ
  5. Polygon(O, U, B) → poly2, b, tanθ, secθ
  6. Polygon(O, I, C) → poly3, cotθ, c, cscθ
  7. Angle(P, A, O) → α
  8. Angle(B, U, O) → β
  9. Angle(O, I, C) → γ
  10. Angle(P, O, A) → ρ

AI Drawing Prompt Reference

Draw a unit circle and mark a point P on it. Connect the origin O, point P, and point A to form a triangle and measure angle θ. Then connect O, P, and B, and O, I, and C to form two new triangles and measure angles β and γ. Finally, measure angles α and ρ.
The prompt above was compiled from the original drawing commands and is for reference only.