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Standard Transformations of Sine and Cosine

Standard Transformations of Sine and Cosine
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2019-03-26 21:11
FunctionTrigonometryTransformationParametric EquationGraphing
In collections MA440
This example demonstrates how adding grouped and ungrouped terms transforms trigonometric functions. It involves core concepts like trigonometric transformations, translations, parametric equations, and graphing. Constructed using GeoGebra commands/objects: a, b, c, d, f, g, text1, text2, text3, text4, text5, text6, text7, text9, h, text10, text11, text12, text13, text14, text8, text15, text16, e. Suitable for high school mathematics education to understand the transformation rules of trigonometric function graphs.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric b(1.0)
  3. Numeric c(0.0)
  4. Numeric d(0.0)
  5. f(x) = a * sin(b * x - c) + d
  6. g(x) = a * cos(b * x - c + d)
  7. Boolean h(false)
  8. Boolean e(true)