Derivative of Sine by John Golden

This GeoGebra example dynamically visualizes the derivative of the sine function, famously equal to cosine. It compares the x-coordinate of point A (representing cosine) with the computed ratio d(sin t)/dt, offering a geometric interpretation of the derivative concept. The construction employs GeoGebra commands such as Circle, Segment, Midpoint, Angle, and Locus, utilizing objects like point t, input box A', and locus loc1 to create an interactive learning experience. It is suitable for high school calculus introduction, college-level precalculus, or any educational setting focused on trigonometric functions and derivative fundamentals.