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Demonstration of sin, cos, tan Functions

Demonstration of sin, cos, tan Functions
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2015-11-15 01:50
FunctionTrigonometryGeometric ConstructionGraphing
This example demonstrates the geometric meaning and relationships among sine, cosine, and tangent functions on the unit circle; involves core math concepts like trigonometric definitions, unit circle, and the relationship between angles and coordinates; constructed using GeoGebra commands/objects b, c, d, a, g, k, f to build the unit circle and related function graphs; suitable for high school mathematics teaching to understand basic properties and visualize changes of trigonometric functions.

GeoGebra Commands & Parameters

  1. Numeric b(1.4)
  2. Numeric c(0.0)
  3. Numeric d(0.0)
  4. Numeric a(2.05)
  5. g(x) = cos((b * (x° - c))) + d
  6. k(x) = tan((b * (x° - c))) + d
  7. f(x) = (a * sin((b * (x° - c)))) + d