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Firetruck Sine Wave

Firetruck Sine Wave
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2018-04-15 12:03
VectorFunctionTrigonometryCoordinate GeometryParametric Equation
This example demonstrates the sine wave formed by a firetruck's water hose, involving core math concepts like sine functions, parametric equations, coordinate geometry, and vector operations. It uses GeoGebra commands such as Point, Ray, Segment, Angle, and Vector. Suitable for high school mathematics education to understand the relationship between parametric equations and function graphs.

GeoGebra Commands & Parameters

  1. Point(Sequence[((0.5 * cos(i°)), (0.5 * sin(i°))), i, 0, 90]) → R
  2. Ray((2 * R), (3 * R)) → ray
  3. Point(ray) → P
  4. Segment(O, P) → rod
  5. Segment(P, Q) → string
  6. Angle((1, 0), O, P) → α
  7. Angle(P, Q, O) → β
  8. Segment(O, Q) → distance
  9. Vector(C, D) → u
  10. Vector(D, C) → v
  11. Segment(C, D) → f