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Exercise 16: Sine Function and Sphere Scatter Plot

Exercise 16: Sine Function and Sphere Scatter Plot
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2017-06-14 15:18
TrigonometryCoordinate GeometrySolid GeometryGraphing
This example demonstrates the relationship between the sine function graph and a sphere in 3D space through scatter plots. Core math concepts include trigonometry, spherical coordinates, ratios, and arithmetic operations. Constructed using GeoGebra commands like Random, RandomElement, Textfield, Intersect, and TableText for random data generation, text interaction, intersection calculations, and tabular displays. Suitable for high school and above, focusing on the intersection of spatial geometry and trigonometric functions.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → d_1
  2. Random(-10, 10) → b_1
  3. Random(-10, 10) → b
  4. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  5. Random(-10, 10) → a
  6. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  7. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  8. Textfield(h) → InputBox1
  9. Textfield(m) → InputBox2
  10. Textfield(f) → InputBox4
  11. Random(-10, 10) → d_2
  12. Intersect(g, xAxis) → C
  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