Discovering Trig Ratios in a Right Triangle

① This interactive GeoGebra example allows users to change the acute angle of a right-angled triangle and dynamically observe how the trigonometric ratios (sine, cosine, tangent) vary with the angle. ② The core mathematical concepts are the definitions of trigonometric ratios as side ratios in a right triangle, and the functional relationship between angle measure and these ratios. ③ Construction highlights: using GeoGebra commands such as Segment, Rotate, Ray, and Intersect to build the triangle, with Angle objects (α, β, γ) to label angles, a slider to control the angle, and text1 to display the computed ratios in real time. ④ It is suitable for middle school or early high school students learning introductory trigonometry, and for teachers demonstrating the geometric meaning of trig ratios in a dynamic classroom setting.