Rotation of Sine Function

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2016-03-25 02:11

This example demonstrates the rotation of a sine function graph. It involves core concepts of trigonometry. Using GeoGebra commands such as Circle, Root, and Sequence, a dynamic sine function graph can be constructed. Suitable for high school mathematics education, particularly in coordinate geometry and trigonometry.

GeoGebra Commands & Parameters

Circle((0, 0), ((tm * 2) * π)) → c
Root(f, 0) → A
Sequence(CurveCartesian[(((t * cos(((i * 2) * π / n))) - ((((a + sin(π / n)) * t) * sin(((i * 2) * π / n))) * sin(((-1)^(i) * t))^(p))) * cos((b * sin((d * t))))) - (((t * sin(((i * 2) * π / n))) + ((((a + sin(π / n)) * t) * cos(((i * 2) * π / n))) * sin(((-1)^(i) * t))^(p))) * sin((b * sin((d * t))))), (((t * cos(((i * 2) * π / n))) - ((((a + sin(π / n)) * t) * sin(((i * 2) * π / n))) * sin(((-1)^(i) * t))^(p))) * sin((b * sin((d * t))))) + (((t * sin(((i * 2) * π / n))) + ((((a + sin(π / n)) * t) * cos(((i * 2) * π / n))) * sin(((-1)^(i) * t))^(p))) * cos((b * sin((d * t))))), t, 0, ((tm * 2) * π)], i, 0, n) → liste1