Tangent Function and Similar Triangles Demo

This example dynamically demonstrates the relationship between the tangent function graph and similar triangles, visually showing the geometric meaning of the tangent value. It involves core mathematical concepts such as the tangent function, similar triangles, angle measurement, and plane geometry. Construction highlights include using GeoGebra commands and objects like Intersect (intersection), Rotate (rotation), Angle (angle), Line (line), Segment (segment), Point (point), and OrthogonalLine (perpendicular line). Suitable for high school mathematics teaching to help students understand the geometric definition of the tangent function and its connection to triangle similarity.