Unit Circle x-axis Symmetry: Sine

This applet explores the relationship between the unit circle and the sine function, focusing on how x-axis symmetry affects the coordinates and function values. ① It demonstrates the correspondence between coordinates of points on the unit circle and the values of the sine function, highlighting the role of x-axis symmetry. ② Key mathematical concepts include the unit circle, sine function, symmetry, and coordinate geometry. ③ The construction uses GeoGebra commands: Circle, Segment, Angle, and objects like f (function), α_1 (angle), O (center), c (circle), A, B (points), a, b (lengths), E (point), α (angle), A', B' (points). ④ Suitable for high school mathematics students to understand the connection between trigonometric functions and geometric shapes.