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Superposition of Sine Waves

Superposition of Sine Waves
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2015-09-28 17:18
FunctionTrigonometrySlider Animation
This example demonstrates the superposition of sine waves. By adjusting the amplitude, angular frequency, and phase, observe the changes in the resulting waveform. Key mathematical concepts include trigonometry and vectors. Utilizes GeoGebra commands such as slider animation, function graphing, and geometric construction.

GeoGebra Commands & Parameters

  1. Numeric a_1(2)
  2. Numeric ω_1(1)
  3. Numeric φ_1(0)
  4. Numeric a_2(1)
  5. Numeric ω_2(1)
  6. Numeric φ_2(0)
  7. g(x) = (a_1 * sin((ω_1 * x) + φ_1))
  8. h(x) = (a_2 * sin((ω_2 * x) + φ_2))
  9. som(x) = g(x) + h(x)