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Sine and Cosine Friendly Graphing Template by Tim Brzezinski (2)

Sine and Cosine Friendly Graphing Template by Tim Brzezinski (2)
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2021-10-05 18:42
FunctionTrigonometryGraphing
In collections Sine and Cosine Graphing Templates
This example demonstrates the graphs of sine and cosine functions. It covers core concepts of trigonometric functions, including periodicity, amplitude, and phase. Using GeoGebra commands like Textfield, Point, FitSin, etc., you can dynamically adjust function parameters and observe changes in the graph. Suitable for high school mathematics education, particularly for trigonometric functions and function graphing.

GeoGebra Commands & Parameters

  1. Textfield(start) → InputBox1
  2. Textfield(end) → InputBox2
  3. Textfield(k1) → InputBox3
  4. Textfield(k2) → InputBox4
  5. Textfield(k3) → InputBox5
  6. Point(eq6) → A
  7. Point(eq7) → B
  8. Point(eq8) → C
  9. Point(eq9) → D
  10. Textfield(a) → InputBox6
  11. Textfield(b) → InputBox7
  12. Point(eq10) → E
  13. Point(eq7) → F
  14. FitSin({A, C, D, E, F}) → f
  15. SurdText(k2 / π) → text1
  16. SurdText(x(A) / π) → text4
  17. SurdText(k1 / π) → text6
  18. SurdText(x(E) / π) → text8
  19. SurdText(x(F) / π) → text10

AI Drawing Prompt Reference

In a single coordinate plane, draw a sine fitted graph. Create several sample points whose positions are determined by input parameters for a start value, an end value, and three phase/frequency-related parameters. Use these points as the data set for fitting a sine function to obtain the resulting curve. Add on-plot text labels in surd form showing parameter values divided by π, and also showing the x-coordinates of selected sample points divided by π, so the viewer can read phase/period information. Construct the points first, then perform the sine fit, and finally place the π-based labels.
The prompt above was compiled from the original drawing commands and is for reference only.