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Parametrized Cosine Surfaces

Parametrized Cosine Surfaces
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2018-02-19 03:41
TrigonometrySolid GeometryParametric Equation
This example demonstrates the construction of parametrized cosine surfaces. It involves core concepts of trigonometry and solid geometry. Using the Polygon, PointIn, and Surface commands, users can dynamically explore cosine surfaces with different parameters. Suitable for high school and above students or teachers for teaching and learning 3D geometry and parametric equations.

GeoGebra Commands & Parameters

  1. Polygon((((-π)) / 2, ((-π)) / 2), (π / 2, ((-π)) / 2), 4) → poly1
  2. PointIn(poly1) → A
  3. Surface(cos(t + x(A)), cos(u + x(A)), cos(t + u + y(A)), t, 0, (2 * π), u, 0, (2 * π)) → a