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Interactive Demo of Trigonometry and Parametric Curves

Interactive Demo of Trigonometry and Parametric Curves
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2017-02-15 00:40
VectorTrigonometryCalculusParametric EquationGeometric Construction
In collections Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates the combination of trigonometric functions and parametric curves interactively, showcasing geometric transformations like rotation and roots. Core math concepts include trigonometry, rotation, roots, parametric equations, and calculus. It uses GeoGebra commands like Point, Vector, Textfield to construct objects such as a, base, e, k for dynamic visualization, making it suitable for high school and above students to understand applications of parametric equations, calculus, and geometric transformations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Vector(A, B) → u
  3. Vector(B, C) → v
  4. Textfield(f1) → inputBox1
  5. Textfield(f2) → inputBox2
  6. Textfield(f3) → inputBox3
  7. Textfield(m) → inputBox4_1
  8. Vector(A, F) → i
  9. Vector(F, C) → h
  10. Point(yAxis) → H
  11. Vector(H, I) → q
  12. Vector(H, K) → r
  13. Vector(K, J) → s
  14. Vector(I, J) → t
  15. Vector(J, M) → u_1
  16. Textfield(base) → inputBox4
  17. Vector(I, M) → v_1
  18. Vector(M, I) → w_1
  19. Vector(H', G') → z_1
  20. Vector(H', K') → c_1
  21. Vector(K', J') → e_1
  22. Vector(G', J') → d_1