Additional Trigonometric Graphs

    This topic presents the graphs of trigonometric functions with some type of transformation applied to it. For example, applying an absolute value function to a trigonometric function yields a similarly shape function by relecting the negative portion of the graph through the y-axis. Other types of transformations include, vertical transformations, sums and differences, and damping effects.

    If the  six basic trigonometric graphs are known then sketching the graphs of an absolute value of one of these graphs can be obtained by reflection the negative portion of the graph through the additional trigonometric graphs _gr_1.gif]-axis. Here are some graphs:

Example (Additional Trigonometric Graphs) The graph of additional trigonometric graphs _gr_2.gif] can be obtained by reflecting the negative portion of the graph of additional trigonometric graphs _gr_3.gif] through the additional trigonometric graphs _gr_4.gif]-axis.

additional trigonometric graphs _gr_5.gif]
additional trigonometric graphs _gr_6.gif]

Example (Additional Trigonometric Graphs) The graph of additional trigonometric graphs _gr_7.gif] can be obtained by reflecting the negative portion of the graph of additional trigonometric graphs _gr_8.gif] through the additional trigonometric graphs _gr_9.gif]-axis.

additional trigonometric graphs _gr_10.gif]
additional trigonometric graphs _gr_11.gif]

Example (Additional Trigonometric Graphs)The graph of additional trigonometric graphs _gr_12.gif] can be obtained by reflecting the negative portion of the graph of additional trigonometric graphs _gr_13.gif] through the additional trigonometric graphs _gr_14.gif]-axis.

additional trigonometric graphs _gr_15.gif]
additional trigonometric graphs _gr_16.gif]

Cite this as:
Additional Trigonometric Graphs
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/additional-trigonometric-graphs.html
 
    
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