Symmetry in Cosine and Tangent Functions

Symmetry in Cosine and Tangent Functions
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2012-04-02 17:28
This example demonstrates the symmetry properties of cosine and tangent function graphs. It involves core math concepts like symmetry, derivatives, limits, frequency distribution, Pythagorean theorem, and rectangles. The construction uses GeoGebra objects f (function), a, b (parameters), and g, h (auxiliary objects). Suitable for high school students learning trigonometry and calculus.

GeoGebra Commands & Parameters

  1. f(x) = sin(x)
  2. Line a(0.0, 1.0, 0.0)
  3. Line b(1.0, 0.0, 0.0)
  4. g(x) = f(-x)
  5. h(x) = -g(x)