5.5 C Graphing Secant
April 09, 2009
5.5 C Graphing Secant
Objective: Graph the secant function
Apr 6­6:34 PM
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5.5 C Graphing Secant
April 09, 2009
Remember:
y = sec(x) and y = cos(x) are reciprocals
1
sec(x) = cos(x)
Therefore, to graph secant we graph the
reciprocal of each point on the cosine graph.
However, we will have asymptotes on the
secant graph where cos(x)= 0 because the
reciprocal of 0/1 is undefined.
Apr 6­6:35 PM
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5.5 C Graphing Secant
April 09, 2009
Steps to graphing secant:
1. Graph the cosine version of that graph.
2. Draw vertical asymptotes through the x-values that
are half-way between each max and min.
3. Plot a point at each max and min of y = cos(x).
4. Draw a curve pointed up at each max and a curve
pointed down at each min.
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5.5 C Graphing Secant
April 09, 2009
Graph y = sec(x)
1.
2.
3.
4.
Graph y = cos(x)
Asymptotes
Points
Curves
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5.5 C Graphing Secant
April 09, 2009
Graph y = 2sec(1/4x)
1.
2.
3.
4.
Graph y = cos(x)
Asymptotes
Points
Curves
Apr 6­6:35 PM
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5.5 C Graphing Secant
April 09, 2009
Graph y = -sec(x - π)
1.
2.
3.
4.
Graph y = cos(x)
Asymptotes
Points
Curves
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5.5 C Graphing Secant
April 09, 2009
Apr 9­8:27 AM
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5.5 C Graphing Secant
April 09, 2009
Homework:
Page 424
(21, 23, 29, 35, 36, 40, 43)
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