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Generating the Graphs of the Trigonometric Functions By: Christopher Imm.

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Presentation on theme: "Generating the Graphs of the Trigonometric Functions By: Christopher Imm."— Presentation transcript:

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2 Generating the Graphs of the Trigonometric Functions By: Christopher Imm

3 Generating the graphs of sine, cosine, and tangent The graphs of sine and cosine may be generated by the unit circle. 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. 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. 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. Think of the input of the function as a time component.

4 The graph of cosine of x

5 The graph of sine of x

6 The graph of tangent of x Tangent is more difficult to visualize, but remember it is the ratio of sine to cosine. Tangent is more difficult to visualize, but remember it is the ratio of sine to cosine.

7 Trigonometric Gallery Website mathdemos.gcsu.edu/mathdemos/family_of_functions/trig_gallery.html


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