Trigonometry Examples

Step 1
Cancel the common factor of .
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Step 1.1
Cancel the common factor.
Step 1.2
Divide by .
Step 2
To find the holes in the graph, look at the denominator factors that were cancelled.
Step 3
To find the coordinates of the holes, set each factor that was cancelled equal to , solve, and substitute back in to .
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Step 3.1
Set equal to .
Step 3.2
Add to both sides of the equation.
Step 3.3
Substitute for in and simplify.
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Step 3.3.1
Substitute for to find the coordinate of the hole.
Step 3.3.2
Simplify.
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Step 3.3.2.1
Multiply by .
Step 3.3.2.2
Add and .
Step 3.4
The holes in the graph are the points where any of the cancelled factors are equal to .
Step 4
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