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Sine Function Animation

Sine Function Animation
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2015-12-03 04:12
FunctionTrigonometry
This example demonstrates the animation of a sine function. It involves the core concept of trigonometric functions, showing the changes in the sine function graph through a slider animation. The construction uses GeoGebra objects such as intersection, circle, and ray.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C
  2. Circle(C, A) → c
  3. Ray(A, (-2, y(A))) → a
  4. Segment(C, A) → b
  5. Ray(C, A) → d
  6. Intersect(c, d) → D,
  7. Segment(D, (x(D), 0)) → e

AI Drawing Prompt Reference

Draw an animation of a sine function to show the changes in the sine function graph. Start by plotting the intersection of the coordinate axes, then draw a circle centered at this point. Next, draw a ray from the center, and connect the center to the ray's starting point to form a segment. Then, draw another ray from the center in the opposite direction. Finally, find the intersection of the circle and this ray, and connect the intersection point to the x-axis. Use a slider to control the parameter and observe the dynamic changes in the sine function graph.
The prompt above was compiled from the original drawing commands and is for reference only.