If you would like an review of trigonometry, click on trigonometry.
Solve for x in the following equation.
There are an infinite number of solutions to this problem. To solve for x, you must first isolate the tangent function.
Isolate the tangent term.
If we restrict the domain of the tangent function to
we can use the arctan function to solve for x.
The period of tan function is This means that the values will repeat every radians. Therefore, the exact solutions are The approximate solutions are
These solutions may or may not be the answers to the original problem. You much check them, either numerically or graphically, with the original equation.
Check answer . x=0.750929062398
Check answer .
Graph the equation
Note that the graph crosses the x-axis many times indicating many solutions. One of the x-intercepts is located at 0.750929062398. This means that this is a solution. Notice that the distance between each x-intercepts is
If you would like to test yourself by working some problems similar to this example, click on Problem.
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