The Unit Circle and Trigonometric Visualization

This GeoGebra example dynamically illustrates the relationship between points on the unit circle, angles, and trigonometric function values. It demonstrates the geometric definition of sine, cosine, and tangent using the unit circle, along with angle measurement in radians and degrees, and introduces the concept of limits as points approach key positions on the circle. The construction uses commands such as Point, Segment, and Angle to create the circle, radii, and angle markers, with multiple labeled points (A, B, C, D, etc.) and text objects (text1 to text14) updating values in real time. This resource is ideal for high school and early college students learning trigonometric periodicity, symmetry, and the foundational role of the unit circle in deriving identities. It also serves as an interactive tool for teachers to demonstrate core concepts in trigonometry and precalculus.