Sine, Cosine, and Tangent Variation with Angle

① This example demonstrates how the sine, cosine, and tangent ratios change continuously as the acute angle of a right triangle varies. ② Core mathematical concepts include right triangles, acute angles, definitions of the three primary trigonometric functions (opposite/hypotenuse, adjacent/hypotenuse, opposite/adjacent), and an intuitive view of their functional behavior. ③ Construction highlights: Segment creates the three sides; OrthogonalLine builds a perpendicular; Rotate and Ray produce a rotatable angle; Angle marks the angle measure; Intersect finds intersection points; Distance computes side lengths; Midpoint marks midpoints; Text objects display real‑time side lengths and ratio values. ④ Suitable for middle‑school geometry and high‑school trigonometry introduction, and serves as a dynamic visual aid for classroom instruction or student self‑study.