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 sine term.
We know that the therefore The sine function is positive in quadrants I and II. The is also equal to Therefore, two of the solutions to the problem are and
The period of the sin function is This means that the values will repeat every radians in both directions. Therefore, the exact solutions are and where n is an integer. The approximate solutions are and where n is an integer.
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 .
Since the left side equals the right side when you substitute for x, then is a solution.
Check answer .
Graph the equation
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