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Interactive Demo of Trigonometric Functions and Geometric Transformations

Interactive Demo of Trigonometric Functions and Geometric Transformations
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2017-02-09 01:28
VectorFunctionTrigonometryCoordinate Geometry
In collections Mapping Diagrams: From AB to C&DE, Resource
This example dynamically demonstrates the integration of trigonometric functions (tangent) with geometric transformations. It involves core math concepts like trigonometric functions, vector operations, geometric transformations, and coordinate geometry. Constructed using commands like Point, Vector, Textfield, and objects such as k, h, g, f for parametric operations. Suitable for high school and above mathematics education to understand the relationship between function graph transformations and geometric properties.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Vector(A, B) → u
  3. Vector(B, C) → v
  4. Textfield(g) → inputBox1
  5. Textfield(f) → inputBox2
  6. Vector(A, E) → z
  7. Vector(E, C) → w
  8. Vector(A, C) → d

AI Drawing Prompt Reference

Draw a coordinate system with point A on the y-axis. Draw vectors u and v through point A, then define vectors z and w using inputBox1 and inputBox2. Finally, draw vector d to demonstrate the dynamic relationship between trigonometric functions and geometric transformations.
The prompt above was compiled from the original drawing commands and is for reference only.