MathPlotAI Logo MathPlotAI

Cosine Graph Using a Unit Circle

Cosine Graph Using a Unit Circle
Loading the math board and drawing, please wait…
2015-12-25 06:47
CircleFunctionTrigonometryGeometric Construction
This example demonstrates the cosine graph using a unit circle. Key mathematical concepts include trigonometry and the unit circle. GeoGebra commands used include Circle, Vector, Rotate, Angle, and Segment. Suitable for high school mathematics education, particularly for trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, 1) → c
  2. Vector(A - (1.2, 0), A + (1.2, 0)) → u
  3. Vector(A - (0, 1.2), A + (0, 1.2)) → v
  4. Rotate((-2, 1), θ, A) → P
  5. Angle((-2, 1), A, P) → α
  6. Segment(A, P) → a
  7. Segment(P, C) → b
  8. Segment(B, C) → e
  9. Segment(E, F) → f
  10. Segment(G, F) → g
  11. Segment(B, C) → H
  12. Segment(C, D) → h