Sine Spaghetti: Dynamic Visualization of Unit Circle and Sine Function

① This example demonstrates how the sine function is generated from the unit circle by connecting points on the circle to corresponding points on the sine graph with line segments, creating a 'spaghetti' effect. ② Core mathematical concepts include the unit circle, sine function, angle-radian correspondence, and parametric curve ideas. ③ Construction highlights: using GeoGebra commands such as Segment, Midpoint, Circle, Point, Intersect, and Angle, with objects A, B, f, C, c, D, E, α, buttons button1/button2, counter cnt, point P, function g, segment h, and text1. Buttons control animation to show how the sine value changes as the angle varies. ④ Suitable for high school or pre-calculus students learning trigonometry, and useful for classroom demonstrations or self-exploration to understand the periodic nature and unit circle definition of sine.