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Sine & Cosine Function Modeling: Finding Correct Parameters

Sine & Cosine Function Modeling: Finding Correct Parameters
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2015-09-02 03:30
FunctionTrigonometryGraphing
This example demonstrates how to model random sinusoidal waves using the function y = a sin(bx - c) + d. It involves core math concepts like trigonometric functions, function graph fitting, and parameter adjustment. Constructed with GeoGebra commands like Sequence, RandomElement, FitSin, and objects such as button1, List1, sliders A, B, C, D. Suitable for high school mathematics teaching to understand trigonometric function models and their parameter significance.

GeoGebra Commands & Parameters

  1. Sequence(i, i, 4, 30, 1) → List1
  2. RandomElement(List1) → w
  3. Sequence(i, i, -8, 8, 0.25) → List2
  4. RandomElement(List2) → a
  5. FitSin(list1) → g
  6. Textfield(a_1) → InputBox1
  7. Textfield(d_1) → InputBox2
  8. Textfield(b_1) → InputBox3
  9. Textfield(c_1) → InputBox4

AI Drawing Prompt Reference

Draw a random sine wave using the function y = a sin(bx - c) + d. First, generate two random number lists to control the wave's period and phase. Then, use the FitSin command to fit a sine wave. Finally, adjust parameters a, d, b, and c to observe the changes in the wave.
The prompt above was compiled from the original drawing commands and is for reference only.