Sine and Cosine Scale Ruler: Visualizing Trigonometric Functions via the Unit Ci

This interactive GeoGebra construction demonstrates how sine and cosine values correspond to segment lengths on the unit circle as the central angle varies. It leverages core concepts from trigonometry, including the definition of sine and cosine via right triangles inscribed in a circle, properties of circumcircles, orthogonal projections, and geometric symmetry. The model is built using fundamental GeoGebra commands such as Segment, Circle, Point, Intersect, Polygon, Rotate, Mirror, Angle, Midpoint, and Sequence, along with auxiliary elements like semicircles, perpendicular lines, and circular arcs to accurately represent function values. Ideal for high school trigonometry instruction or advanced geometric construction practice, it helps learners visualize the geometric foundation of trigonometric functions.