Sine and Cosine Explorer: Unit Circle, Slider, and Function Graphs

This example demonstrates how a point moving on the unit circle changes sine and cosine values and how those values appear on function graphs. It covers unit circle, radian angle, sine, cosine, coordinate projection, parameter variation, and graph linkage. Construction uses Point to create moving point A, Circle to define unit circle c, Intersect and Rotate to build angle and rotation relationships, Segment to draw radius and projection segments, Angle to label α, β, γ, and objects Sine, Cosine, text1, text2 to display values and notes. A slider controls the point, while checkboxes can toggle plots. Suitable for middle or high school trigonometry, unit-circle introduction, function graph exploration, and dynamic geometry lessons.