Homework Change

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Homework Change

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CotangentSection 4.6
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Cotangent Function
Graph of the Cotangent Function
At values of x for which sin x 0, the cotangent
function is undefined and its graph has vertical
asymptotes.
2. range (?, ?)
3. period ?
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Graphing yAcot(Bx-C)
1. Find two consecutive asymptotes by setting
the variable expression in the cotangent
equal to 0 and ? and solving Bx C
0 and Bx C ? 2. Identify an x-intercept,
midway between consecutive
asymptotes. 3. Find the points on the graph
1/4 and 3/4 of the way between an x-intercept
and the asymptotes. These points have
y-coordinates of A and A. 4. Use steps 1-3 to
graph one full period of the function. Add
additional cycles to the left or right as
needed.
x
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BIG Picture Cotangent
Plot x-intercept point ½ between vertical
asymptotes
Plot points at the ¼ and ¾ locations using value
of A
Connect with smooth curve similar to the negative
cubic function
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Example 1

• Graph the following function
• y 3cot 2x
• Finding Vertical Asymptotes
• 2x 0 and 2x ?
• x 0 and x ?/2
• A 3

7
-45
45
90
-90
135
-135
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Homework

• Worksheet 10-2
• Quiz Next Class