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Polar Coordinates Plotting

Polar Coordinates Plotting
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2013-04-14 18:15
FunctionTrigonometryCoordinate GeometryGraphing
This example demonstrates how to plot polar functions in GeoGebra, covering core concepts like polar coordinate systems, trigonometric functions, and function graphing. It utilizes commands and objects such as Intersect, Point, Circle, Line, Textfield, CurveCartesian, Segment, and Angle for construction, making it suitable for high school mathematics education and learning polar function graphing.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Point(xAxis) → C
  3. Circle(B, C) → c
  4. Circle(B, D) → d
  5. Circle(B, E) → e
  6. Circle(B, F) → f
  7. Point(xAxis) → G
  8. Circle(B, G) → g
  9. Circle(B, H) → h
  10. Circle(B, I) → k
  11. Line(M, B) → a
  12. Line(L, B) → b
  13. Line(K, B) → i
  14. Line(J, B) → j
  15. Point(xAxis) → A
  16. Circle(B, A) → p
  17. Point(xAxis) → N
  18. Circle(B, N) → q
  19. Point(xAxis) → O
  20. Circle(B, O) → r
  21. Circle(B, P) → s
  22. Intersect(c, yAxis, 2) → Q
  23. Line(B, Q) → l
  24. Intersect(c, xAxis, 1) → R
  25. Line(B, R) → m
  26. Textfield(r_1) → inputBox1
  27. CurveCartesian(r_1(θ) * cos(θ), r_1(θ) * sin(θ), θ, 0, θ_1) → c_1
  28. CurveCartesian(r_1(θ) * cos(θ), r_1(θ) * sin(θ), θ, 0, 12.566370614359172) → c_2
  29. Segment(B, S) → t
  30. Angle(m, t) → α

AI Drawing Prompt Reference

Draw a polar coordinate system with x and y axes, create multiple concentric circles centered at their intersection, mark several points on the x-axis and draw circles with these points as centers, connect the intersection points of these circles with the axes to the centers, plot a function curve in the polar coordinate system, and label the angle and function expression.
The prompt above was compiled from the original drawing commands and is for reference only.