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SOLVING TRIGONOMETRIC EQUATIONS

**Note: **If you would like a review of trigonometry, click on
trigonometry.

Example 4: **Solve for x in the following equation.**

There are an infinite number of solutions to this problem. To solve for x,
set the equation equal to zero and factor.

then

Since
and
,
there are no solutions.

Graphical Check:

Graph the equation
,
formed by subtracting the
right side of the original equation from the left side of the original
equation. If your computer or calculator does not have these functions,
graph the function
.
Note that the graph never crosses the x-axis indicating that there are no real solutions to this problem.

If you would like to test yourself by working some problems similar to this
example, click on Problem.

If you would like to go to the next section, click on **next.**

If you would like to go back to the previous section, click on *
***previous**.

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[Algebra]
[Trigonometry]
[Geometry]
[Differential Equations]
[Calculus]
[Complex Variables]
[Matrix Algebra]
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Author:
Nancy Marcus

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