Exploring Trigonometric Function Characteristics via Unit Circle

① This GeoGebra example demonstrates the relationship between the unit circle and the graphs of sine and cosine functions, showing how the angle α determines the coordinates of a point on the circle and the corresponding function values. ② Core mathematical concepts include trigonometric functions, unit circle, angle measurement in radians, periodicity, amplitude, and the Pythagorean theorem. ③ The construction uses commands such as Intersect to find circle-axis intersections, Point to create dynamic points, Circle to draw the unit circle, and Angle to mark the angle α; text objects display the values of sine and cosine, while the function graph is updated dynamically. ④ It is ideal for high school or early college students learning trigonometry, and for teachers demonstrating the visual connection between geometric and algebraic representations of trigonometric functions.