Unit Circle with Tangent Line
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This example demonstrates the tangent line to a point on the unit circle and its related geometric properties. Core math concepts include the unit circle, tangent line, angle, orthogonal line, and analytical geometry. Construction highlights involve GeoGebra commands/objects like Point, Ray, Angle, OrthogonalLine, Intersect, Segment, CircleArc, Line, If, AnimationState, and ControlText. Suitable for high school students learning trigonometry, derivatives, and geometric constructions.
GeoGebra Commands & Parameters
Point(c) → PRay(O, P) → aAngle(C, O, P) → θOrthogonalLine(P, b) → eOrthogonalLine(P, d) → fIntersect(d, f) → DIntersect(b, e) → ESegment(P, E) → gSegment(D, O) → hSegment(O, E) → iOrthogonalLine(C, b) → jIntersect(c, j, 1) → BCircleArc(O, B, P) → pLine(O, P) → lIntersect(j, l) → TSegment(C, T) → kIf(AnimationState ≟ 0, "Turn Animation On", "Turn Animation Off") → ControlText