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Forming the Cosine Graph

Forming the Cosine Graph
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2015-12-29 10:47
FunctionTrigonometryGeometric Construction
This example demonstrates how to construct the cosine graph through rotation and angles. Key mathematical concepts include the cosine function, angles, and vectors. Using GeoGebra commands such as Circle, Vector, Rotate, Angle, Segment, Line, and Intersect, the formation of the cosine graph is dynamically illustrated. Suitable for high school mathematics education and learning.

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
  13. Line(A, y = 1) → j
  14. Line(P, x = 1) → k
  15. Intersect(j, k) → K
  16. Segment(P, K) → l