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Cosine Function Graph by SofijaCak

Cosine Function Graph by SofijaCak
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2016-08-11 04:07
FunctionTrigonometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates the graph of the cosine function and its properties. It involves core mathematical concepts such as trigonometric functions, coordinate systems, function graphs, and rotations. The construction uses GeoGebra commands and objects like Point, Line, Intersect, Vector, Circle, Rotate, CircleArc, and Segment. It is suitable for high school mathematics teaching and function graph learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Line(A, B) → f
  3. Intersect(xAxis, yAxis) → C
  4. Line(A, C) → g
  5. Point(f) → D
  6. Point(f) → E
  7. Vector(D, E) → u
  8. Point(g) → F
  9. Vector(F, C) → v
  10. Point(yAxis) → G
  11. Point(yAxis) → H
  12. Vector(G, H) → w
  13. Point(w) → I
  14. Point(xAxis) → J
  15. Vector(I, J) → a
  16. Point(v) → K
  17. Circle(K, 1) → c
  18. Vector(L, M) → b
  19. Point(b) → O
  20. Rotate(N, θ, O) → P
  21. CircleArc(O, N, P) → d
  22. Segment(N, Q) → i
  23. Segment(Q, (x(Q), 0)) → j
  24. Segment(P, (x(P), 0)) → h
  25. Segment(P, Q) → k