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Sine Wave with Phasor Demo

Sine Wave with Phasor Demo
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2019-06-25 17:35
VectorFunctionTrigonometryGeometric Construction
This example demonstrates a traveling sine wave moving in the +x direction along with its corresponding phasor diagram. Key math concepts include sine functions, circles, complex numbers, geometric constructions, and parametric equations. The construction utilizes GeoGebra commands such as Point, Circle, Intersect, Rotate, Angle, Vector, OrthogonalLine, Segment, and Line. Suitable for high school and above students to learn about wave phenomena, AC principles, and the application of complex numbers in trigonometry.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(f, a, (1.7592918860102844, -0.8177344840026156)) → C
  4. Intersect(c, xAxis, 2) → F
  5. Rotate(F, (k * X) - (ω * t), A) → F'
  6. Angle(F, A, F') → α
  7. Vector(A, F') → u
  8. OrthogonalLine(A, xAxis) → e
  9. Point(e) → E
  10. Point(e) → G
  11. Segment(E, G) → g
  12. Line(F', C) → d
  13. Intersect(d, g) → H
  14. Vector(A, H) → v