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Graphing Simple Sine and Cosine-Based Polar Curves

Graphing Simple Sine and Cosine-Based Polar Curves
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2015-04-29 04:18
FunctionTrigonometryGraphing
This example demonstrates simple polar curves based on sine and cosine. Key math concepts include trigonometry. Using GeoGebra commands like Textfield, CurveCartesian, Ray, Segment, etc., these curves can be constructed. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Textfield(a) → inputBox1
  2. Textfield(b) → inputBox2
  3. Textfield(c) → inputBox3
  4. Textfield(d) → inputBox4
  5. CurveCartesian((r_1(j) * cos(j)), (r_1(j) * sin(j)), j, 0, (θ * (1 - h)) + ((h * 2) * π)) → e
  6. Ray(O, Follow) → i
  7. Segment(O, e(θ)) → j
  8. CurveCartesian((r_2(j) * cos(j)), (r_2(j) * sin(j)), j, 0, (θ * (1 - h)) + ((h * 2) * π)) → g
  9. Segment(O, g(θ)) → k