Rotated Lissajous Curve
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This example demonstrates a rotated Lissajous curve, which is the trajectory of two sine or cosine functions. When their frequency ratio is a rational number, the curve closes. By adjusting parameters a, b, and c, you can observe the rotation and changes in the curve. The construction uses the CurveCartesian and Sequence commands. Suitable for high school mathematics education, particularly in coordinate geometry and parametric equations.
GeoGebra Commands & Parameters
CurveCartesian((sin((a * t)), cos((b * t))), t, 0, (12 * π)) → cSequence(Rotate[c, g°, A], g, 20, 360, 20) → L_1