MathPlotAI Logo MathPlotAI

Basic Sine Wave

Basic Sine Wave
Loading the math board and drawing, please wait…
2018-07-24 16:13
FunctionTrigonometryCalculusGraphing
This example demonstrates the basic sine wave and the effects of its parameters (amplitude, frequency, phase) on the waveform. Core math concepts include trigonometric functions, periodicity, amplitude, frequency, phase, and definite integral. Construction involves GeoGebra commands/objects like a (amplitude), frequency, amplitude, phase, d, f, g, duration, text2, b, b_1, text1, text1_1, c. Suitable for high school and above students to learn basic trigonometric function graphs and transformations, as well as integral demonstrations in calculus.

GeoGebra Commands & Parameters

  1. Boolean a(true)
  2. Numeric frequency(2764.601535159018)
  3. Numeric amplitude(1.0)
  4. Numeric phase(0.0)
  5. Numeric d(0.0)
  6. f(x) = sin(x)
  7. g(x) = (amplitude * f((frequency * (x - phase)))) - d
  8. Numeric duration(2.5)
  9. Boolean b(true)
  10. Boolean b_1(false)
  11. a