Curve Stitching in Circle: Trigonometric Visualization

This GeoGebra example demonstrates the phenomenon of curve stitching within a circle, where a sequence of line segments creates intricate curve patterns to visualize trigonometric properties. It involves core mathematical concepts such as angles, the circle, unit circle, tangent function, trigonometric functions, difference and slope, and translation. The construction utilizes GeoGebra commands including Circle to draw the base circle, Sequence to generate the segment series, LaTeX for labeling, Translate for shifting elements, and First to select initial points; objects like n (controlling segment count), c (center), a (angle), A (point), l1 and l3 (lines), and text elements are employed. This is suitable for high school or introductory college students learning trigonometry and geometric constructions, serving as an educational tool for teachers and learners.