Unit Circle SohCahToa Trigonometric Function Trace
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Trig Tools
This GeoGebra example demonstrates the dynamic trace of trigonometric function values on the unit circle, visually illustrating the geometric meaning of sine, cosine, and tangent through the SohCahToa mnemonic. Core mathematical concepts include the unit circle, right-triangle trigonometric ratios, angles in standard position, side-length proportions in right triangles, and the correspondence between circular motion and trigonometric functions. The construction relies on GeoGebra commands such as Intersect, Circle, Point, Segment, OrthogonalLine, Distance, and Angle, involving objects A, B, C, D, α, β, OA, OH, AH, DC, AD, SOH, CAH, TOA, SiNe, CoS, and TaN. It builds the trigonometric ratio figure through circle-line intersections, perpendicular line construction, segment length labeling, and angle measurement. Suitable for high school mathematics classroom demonstrations and for students to independently explore the relationship between the unit circle and trigonometric function graphs.
GeoGebra Commands & Parameters
Intersect(yAxis, xAxis) → ACircle(A, Segment[A, B]) → cPoint(c) → CSegment(A, C) → aOrthogonalLine(C, xAxis) → bIntersect(b, xAxis) → DDistance(A, D) → distanceADDistance(D, C) → distanceDCDistance(A, D) → dAngle(D, A, C) → αAngle(B, A, C) → β