Trigonometric Ratios of Any Angle – Interactive Demo

This GeoGebra example dynamically illustrates the trigonometric ratios (sine, cosine, etc.) for any angle—positive, negative, or beyond 360°—using the unit circle in the coordinate plane. It reinforces key concepts: extension of right-triangle trigonometry to arbitrary angles via coordinates, definition based on the unit circle, and sign behavior across quadrants. Constructed with commands like Circle, Point, Rotate, Angle, Segment, OrthogonalLine, Intersect, and conditional tools such as If and TableText, the model features labeled points (A, B, C, D...), angle θ, and auxiliary lines to show projections and reference triangles. Ideal for high school students learning the foundational transition from acute-angle trigonometry to general trigonometric functions in precalculus.