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Cosine Function Geometric Construction

Cosine Function Geometric Construction
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2017-05-15 15:08
FunctionTrigonometryGeometric Construction
This example demonstrates the geometric construction of the cosine function. Key mathematical concepts include trigonometry. Using GeoGebra commands such as Intersect, Segment, and OrthogonalLine, the cosine function's graph is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → Origin
  2. Segment(Origin, O) → h
  3. OrthogonalLine(Origin, xAxis) → d
  4. OrthogonalLine(Origin, d) → f
  5. Point(xAxis) → G
  6. Ray(Origin, G) → m
  7. Textfield(Θ) → inputBox1
  8. Segment(W, Origin) → n
  9. Point(yAxis) → P_5
  10. Point(yAxis) → Q
  11. Vector(P_5, Q) → u
  12. Point(u) → R
  13. Point(xAxis) → T
  14. Textfield(speed) → inputBox2
  15. Vector(A_1, B_1) → u_1
  16. Vector(A_1, B_1) → v_1
  17. Vector(C_1, T) → v
  18. Vector(V, U) → z_1
  19. If(f_1 ≟ 1, true, false) → FA
  20. If(f_1 ≟ 0, true, false) → FB
  21. Polygon(E_1, F_1, G_1, H_1) → poly1, e_2, f_2, g_2, h_2
  22. Vector(V, U) → z
  23. Circle(O, 3.14) → c
  24. OrthogonalLine(O, z) → a_1
  25. OrthogonalLine(O, a_1) → b
  26. Rotate(D, x(W), O) → P
  27. Angle(D, O, P) → β
  28. Segment(O, P) → e
  29. OrthogonalLine(P, a_1) → g
  30. Intersect(g, a_1) → A
  31. Rotate(P, 90*°, A) → P'
  32. Angle(P, A, P') → γ
  33. OrthogonalLine(W, g) → j
  34. Intersect(j, g) → B
  35. Rotate(B, 90*°, W) → B'
  36. Angle(B, W, B') → δ
  37. Segment(P, B) → k
  38. Intersect(δ, b, 1) → E
  39. Segment(B, W) → a
  40. Midpoint(W, B) → F
  41. Intersect(a_1, b) → H
  42. Intersect(a_1, g) → I
  43. Segment(P, I) → l
  44. Segment(H, I) → p