Cosine Graph Intro in Radians

Cosine Graph Intro in Radians
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2014-10-02 09:32
This example demonstrates the cosine function graph in radians, covering key math concepts like trigonometric functions, periodicity, amplitude, phase, unit circle, and analytical geometry. Construction highlights include GeoGebra commands like objects a (angle), d (period), c (amplitude), b (phase), text annotations, and auxiliary points a_1, b_1, p, and function f. Suitable for high school students learning trigonometric graphs and properties, or introductory periodic function concepts in calculus.

GeoGebra Commands & Parameters

  1. Numeric a(1)
  2. Numeric d(0)
  3. Numeric c(0)
  4. Numeric b(1)
  5. y = d
  6. x = c
  7. p(x) = cos(x)
  8. f(x) = (a * cos((b * (x - c)))) + d

AI Drawing Prompt Reference

Draw a cosine function graph in radians, showcasing key math concepts like trigonometric functions, periodicity, amplitude, phase, unit circle, and analytical geometry. Include sliders for angle, period, amplitude, and phase, along with the corresponding function graph and auxiliary points, annotated for key features, suitable for high school students learning trigonometric graphs and properties or introductory periodic function concepts in calculus.
The prompt above was compiled from the original drawing commands and is for reference only.