Generating the Graphs of the Trigonometric Functions By: Christopher Imm

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Generating the Graphs of the Trigonometric
FunctionsBy Christopher Imm
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Generating the graphs of sine, cosine, and tangent

• The graphs of sine and cosine may be generated by
  the unit circle.
• In the following movies, note that the cosine of
  x is the evolution of the x or horizontal
  component on the unit circle.
• The sine or x is the evolution of the y or
  vertical component on the unit circle.
• Think of the input of the function as a time
  component.

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The graph of cosine of x
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The graph of sine of x
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The graph of tangent of x

• Tangent is more difficult to visualize, but
  remember it is the ratio of sine to cosine.

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Trigonometric Gallery Website

• http//mathdemos.gcsu.edu/mathdemos/family_of_func
  tions/trig_gallery.html