Sinusoidal Circular Wave

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2016-05-21 05:09

In collections surface 3D /3D-Oberflächen 1

This example demonstrates the construction and properties of a sinusoidal circular wave. Key math concepts include trigonometric functions, sequences, coordinate geometry, and parametric equations. It utilizes GeoGebra commands like CurveCartesian, Point, and Sequence, along with objects such as sliders and text. Suitable for high school and above, helping learners understand function graphs, sequence applications, and parametric thinking.

GeoGebra Commands & Parameters

CurveCartesian(t, 0, 0.02 + (a * cos((k * t) - p)), t, 0, 16) → b
Point(b) → A
Sequence(Circle[(0, 0, a), (p + ((i * 2) * π)) / k, zAxis], i, 0, 3) → Berge
Sequence(Circle[(0, 0, (-a)), (p + (i * π)) / k, zAxis], i, -1, 5, 2) → Täler

AI Drawing Prompt Reference

Draw a sinusoidal circular wave, showing its construction and properties. Include a sine curve centered at the origin, with adjustable amplitude, frequency, and phase. Also, draw three concentric circles corresponding to different phases of the sine wave, and five inverse concentric circles to show symmetry. Use sliders to control parameters, and add text annotations explaining key mathematical concepts like trigonometric functions, sequences, coordinate geometry, and parametric equations.

The prompt above was compiled from the original drawing commands and is for reference only.