A New Interpretation of a over b with GeoGebra

Create a dynamic geometric diagram illustrating the geometric meaning of the fraction a divided by b. Include a smooth trigonometric curve as a background reference, with a draggable slider controlling parameters a and b. As the slider changes, show a ray from the origin whose slope equals a/b, and use dashed lines to mark a right triangle with vertical side length a, horizontal side length b, and the angle between the hypotenuse and the horizontal axis varying with the ratio. Use a traced point on the curve to show continuous movement as the ratio changes, and include coordinate axes with tick marks to emphasize limits and continuity visually.