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Wave Function

Wave Function
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2013-08-31 17:40
FunctionTrigonometryGraphing
This example demonstrates the superposition of wave functions. Core mathematical concepts include sine and cosine functions. Using GeoGebra commands such as Point, If, OrthogonalLine, etc., the superposition of waves can be constructed. Suitable for high school and above students to learn about trigonometric functions and wave superposition.

GeoGebra Commands & Parameters

  1. Point(e) → A
  2. If(n ≠ 1, "" + n, "") → d
  3. If(b < 0, "-", "+") → text3
  4. If(a < 0, "-", "") → text4
  5. OrthogonalLine(A, xAxis) → k
  6. Intersect(f, k, (-0.025377968342042395, 3.9999996076276223)) → B
  7. If(g ≠ 1, "" + g, "") → c
  8. If(h ≠ 1, "" + h, "") → i
  9. If(sq ∈ list1, 1, 0) → sqtest
  10. If(sqtest ≟ 1, "" + root, "\sqrt" + sq) → text5
  11. Extremum(q, 0, 360) → D, E, , , , , ,

AI Drawing Prompt Reference

Draw a superposition of a sine wave and a cosine wave, both made up of sine and cosine functions. First, draw the sine wave, then draw the cosine wave, and observe the superposition effect by adjusting the parameters.
The prompt above was compiled from the original drawing commands and is for reference only.