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Trigonometric & Sequence Geometry Application Example

Trigonometric & Sequence Geometry Application Example
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2019-01-11 01:44
TrigonometrySequenceCoordinate GeometrySolid GeometryGraphing
This example dynamically demonstrates the application of trigonometric functions and sequences in geometric figures, showcasing the interaction of elements like similar triangles, spheres, and prisms. Core math concepts include trigonometry, sequences, coordinate geometry, and solid geometry. Construction highlights the use of GeoGebra commands such as Element, Point, Textfield, Vector to build objects like points, vectors, and text fields, with slider animations to illustrate dynamic changes. Suitable for high school and above learners to understand function graphs, geometric transformations, and the integration of sequences with geometry.

GeoGebra Commands & Parameters

  1. Element(trl, fnum) → trig
  2. Point(i) → K
  3. Element(atrl, fnum) → atrig
  4. Element(atrl2, fnum) → atrig2
  5. Textfield(B) → inputBox1
  6. Textfield(s) → inputBoxf
  7. Point(b) → A_x
  8. Vector(K, s_{inv}D) → w
  9. Vector(s_{inv}D, m_{invSinvD}) → z
  10. Vector(m_{invSinvD}, q_{inv+}) → d
  11. Vector(q_{inv+}, I) → h_1
  12. Textfield(C) → inputBox2
  13. Textfield(k) → inputBox3
  14. Textfield(A) → inputBox4
  15. Textfield(B) → inputBox5
  16. Textfield(s) → inputBox6
  17. Vector(m_{invSinvD}, P_2) → u
  18. Vector(P_2, J) → j
  19. Vector(I, E) → v
  20. Vector(J, D) → c
  21. Textfield(B) → inputBox7
  22. Vector(A_x, F) → m
  23. Vector(F, G) → n
  24. Vector(G, H) → p
  25. Vector(H, L) → q
  26. Vector(L, M) → r