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GeoGebra Exercise 9: Trigonometry and Geometric Transformations

GeoGebra Exercise 9: Trigonometry and Geometric Transformations
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2017-07-19 04:20
FunctionTrigonometryCoordinate Geometry
This example dynamically demonstrates the integration of trigonometric functions and geometric transformations using GeoGebra. It involves core concepts like trigonometry, geometric transformations (mirror, translation), polynomial functions, and coordinate geometry. The construction utilizes commands and objects such as Random, RandomElement, Textfield, Mirror, and TableText for dynamic data generation and geometric visualization, making it suitable for high school mathematics education to understand function graphs, geometric transformations, and programming basics.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → d_2
  2. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  3. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  4. Random(-10, 10) → a
  5. Random(-10, 10) → b
  6. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  7. Textfield(h) → InputBox1
  8. Random(-10, 10) → b_1
  9. Random(-10, 10) → d_1
  10. Textfield(m) → InputBox2
  11. Textfield(f) → InputBox4
  12. Mirror(g, xAxis) → g_1
  13. TableText({{A1_1, B_1, C_1, D_1}, {-3, g(-3), h(-3), f(-3)}, {-2, g(-2), h(-2), f(-2)}, {-1, g(-1), h(-1), f(-1)}, {0, g(0), h(0), f(0)}, {1, g(1), h(1), f(1)}, {2, g(2), h(2), f(2)}, {3, g(3), h(3), f(3)}, {m, e, l, k}}, "|_r") → text3_1