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Plotting Polar Curves

Plotting Polar Curves
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2013-09-17 19:16
FunctionTrigonometryCoordinate GeometryParametric EquationGraphing
This example demonstrates how to plot polar curves in the form f(θ) in polar coordinates. It involves core math concepts like polar coordinates, trigonometric functions, and function graphing. Construction highlights include using commands like Vector, Textfield, and CurveCartesian. Suitable for high school mathematics students learning about function graphing and polar coordinates.

GeoGebra Commands & Parameters

  1. Vector(L, M) → u
  2. Textfield(f) → inputBox1
  3. CurveCartesian(cos(t) * g(t), sin(t) * g(t), t, minθ, maxθ) → b
  4. CurveCartesian(-cos(t) * h(t), -sin(t) * h(t), t, minθ, maxθ) → c
  5. Textfield(maxθ) → inputBox2
  6. Textfield(minθ) → inputBox3

AI Drawing Prompt Reference

Plot a polar curve in the form f(θ) using cosine and sine functions. First, create a vector u, then input function f through inputBox1. Next, draw two polar curves b and c using cos(t) * g(t) and sin(t) * g(t) as well as -cos(t) * h(t) and -sin(t) * h(t) as parameters, with t's range controlled by inputBox2 and inputBox3.
The prompt above was compiled from the original drawing commands and is for reference only.