MathPlotAI Logo MathPlotAI

Unit Circle by Ben Britton

Unit Circle by Ben Britton
Loading the math board and drawing, please wait…
2016-08-29 04:20
CircleFunctionTrigonometry
This example visualizes the unit circle and its relationship with sine and cosine. It covers core trigonometric concepts, using GeoGebra commands and objects such as points, circles, intersections, angles, and segments to illustrate the correspondence between points on the unit circle and their sine and cosine values. Suitable for middle and high school mathematics education.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Point(c) → C
  5. Intersect(c, xAxis, 2) → D
  6. Angle(D, A, C) → θ
  7. Segment(A, C) → a
  8. OrthogonalLine(C, xAxis) → b
  9. Intersect(b, xAxis) → E
  10. Segment(C, E) → d
  11. Segment(E, A) → f