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Sine Wave and Unit Circle

Sine Wave and Unit Circle
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2017-05-25 01:32
CircleFunctionTrigonometryGeometric Construction
This example demonstrates the relationship between the sine wave and the unit circle, showing how angle changes generate the sine curve dynamically. Core math concepts include the unit circle, trigonometric functions, sine wave, angles, similar triangles, etc. Construction highlights involve GeoGebra commands/objects like Point, Circle, Angle, Segment, and CurveCartesian. Suitable for high school mathematics teaching to help students visually understand the formation process of trigonometric functions and sine waves.

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