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Sine and Cosine Transformations Exploration

Sine and Cosine Transformations Exploration
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2017-05-07 05:02
CircleFunctionTrigonometryCoordinate Geometry
This example demonstrates the transformations of sine and cosine functions and their relationship with the unit circle. It involves core math concepts like trigonometric functions, unit circle, reflection, polynomial functions, and general quadrilaterals. Constructed using GeoGebra commands/objects: a, b, c, d, f, g, e, h, text1, text2. Suitable for high school mathematics teaching to understand the graphical transformations and geometric significance of trigonometric functions.

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 e(false)
  8. Boolean h(false)