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The Unit Circle by Steve Phelps

The Unit Circle by Steve Phelps
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2015-08-05 20:51
CircleTrigonometryParametric EquationGeometric Construction
This example demonstrates the geometric construction of the unit circle and its relationship with trigonometric functions. Key math concepts include circle, angle, trigonometric functions, and parametric equations. Construction highlights the use of Point, Circle, Angle, Segment, and CurveCartesian commands to create points A, circle c, angle α, segments, and the parametric curve of the circle. Suitable for high school mathematics teaching to understand the definition of trigonometric functions and the application of parametric equations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Circle(A, 1) → c
  3. Angle((1, 0), (0, 0), B) → β
  4. Segment(B, (x(B), 0)) → a
  5. Segment(C, (x(C), 0)) → b
  6. CurveCartesian(t, sin(t), t, 0, α) → d