5.5 B Graphing Cosecant
April 07, 2009
5.5 B Graphing Cosecant
Objective: Graph the cosecant function
Apr 6­6:34 PM
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5.5 B Graphing Cosecant
April 07, 2009
Remember:
y = csc(x) and y = sin(x) are reciprocals
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csc(x) = sin(x)
Therefore, to graph cosecant we graph the
reciprocal of each point on the sine graph.
However, we will have asymptotes on the
cosecant graph where sin(x)= 0 because the
reciprocal of 0/1 is undefined.
Apr 6­6:35 PM
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5.5 B Graphing Cosecant
April 07, 2009
Steps to graphing cosecant:
1. Graph the sine 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 = sin(x).
4. Draw a curve pointed up at each max and a curve
pointed down at each min.
Apr 6­6:35 PM
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5.5 B Graphing Cosecant
April 07, 2009
Graph y = csc(x)
1.
2.
3.
4.
Graph y = sin(x)
Asymptotes
Points
Curves
Apr 6­6:35 PM
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5.5 B Graphing Cosecant
April 07, 2009
Graph y = 3csc(1/2x)
1.
2.
3.
4.
Graph y = sin(x)
Asymptotes
Points
Curves
Apr 6­6:35 PM
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5.5 B Graphing Cosecant
April 07, 2009
Graph y = -2csc(x + π/2)
1.
2.
3.
4.
Graph y = sin(x)
Asymptotes
Points
Curves
Apr 6­6:35 PM
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5.5 B Graphing Cosecant
April 07, 2009
Homework:
Page 424 (24, 30, 37, 44)
Apr 6­6:34 PM
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