MathPlotAI Logo MathPlotAI

Cosine and Unit Circle

Cosine and Unit Circle
Loading the math board and drawing, please wait…
2015-02-17 22:47
CircleTrigonometryGeometric Construction
This example demonstrates the relationship between the cosine function and the unit circle. Key mathematical concepts include the cosine function and the unit circle. Using commands like Intersect, Point, Circle, Angle, and Segment, it shows how the cosine value changes with the angle. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a unit circle and mark points A and B on the x-axis. Use A and B as the center and radius to draw the unit circle c. Take a point C on circle c, draw segment AC and measure angle ∠BAC as α. Draw a perpendicular line from C to the y-axis, and a parallel line from A to the y-axis. The intersection of these two lines is point F, then draw segment FC.
The prompt above was compiled from the original drawing commands and is for reference only.