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Polar Coordinates by Andrius

Polar Coordinates by Andrius
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2020-04-17 15:37
AngleVectorTrigonometryCoordinate GeometryParametric Equation
This example demonstrates point plotting and trajectory changes in polar coordinates. Core math concepts include polar coordinates, vectors, angles, and parametric equations. Construction highlights Vector, CurveCartesian, Line, Angle commands, with parameters k, a, r, θ controlling the graph. Suitable for high school mathematics teaching to understand the geometric meaning and application of polar coordinates.

GeoGebra Commands & Parameters

  1. Vector((0, 0), ((r * cos(θ)), (r * sin(θ)))) → rvec
  2. CurveCartesian((cos(t) * f(t)), (sin(t) * f(t)), t, 0, (2 * π)) → r1
  3. Line(P, (0, 0)) → AngleLine
  4. Vector((0, 0), (100, 0)) → Xvec
  5. Angle(Xvec, Vector[If[r > 0, rvec, ((-x(P)), (-y(P)))]]) → PolarAngle
  6. Angle(Vector[((-x(P)), (-y(P)))], Vector[P]) → RNegAngle