Slope of the Tangent Line to the Sine Curve

This interactive GeoGebra applet dynamically traces the slope of the tangent line at a moving point on the sine curve, visually demonstrating the geometric meaning of the derivative as the slope of the tangent. It focuses on the core concepts of calculus and differential calculus, particularly the derivative of trigonometric functions)Skip. The construction uses GeoGebra commands: Point to create a movable point A on the sine function f, Tangent to generate the tangent line g at A, and Slope to compute its slope m. A point P is then defined with x-coordinate equal to A's x-coordinate and y-coordinate equal to m, and its locus is traced to reveal the derivative curve. This applet is ideal for high school or introductory college calculus students to explore the relationship between a function and its derivative, and to verify that the derivative of sin(x) is cos(x) through visual experimentation.