Unit Circle Pattern 1: Equilateral Triangles and Random Experiments

This GeoGebra example demonstrates a pattern of equilateral triangles inscribed in a unit circle, combined with random experiments and statistical visualization using boxplots and median lines. The core mathematical concepts include the unit circle, trigonometric functions, properties of equilateral triangles, random experiments, and data distribution analysis. The construction uses the Segment command with objects such as angle θ, points A, B, C, D, and functions f, g, h to create dynamic geometric relationships. It is suitable for high school or early college students to explore the connection between unit circle coordinates and trigonometry, as well as to understand how random data can be summarized statistically.