Trig Ratios: Dynamic Right Triangle Side Ratios and Angles

This GeoGebra example dynamically demonstrates the trigonometric ratios (sine, cosine, tangent) in a right triangle, showing how the ratios of side lengths change as the angle varies. It visualizes the fundamental definitions of trigonometric functions using similar triangles and angle-side relationships. The construction uses commands such as Line, OrthogonalLine, Point, Polygon, Dilate, Angle, and Distance to build the triangle, measure sides, and label angles. Text objects display real-time values of ratios like opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent. Suitable for middle school or high school students learning introductory trigonometry, and useful for teachers to illustrate the connection between geometric ratios and trigonometric functions.