Question

determine the period of the following graph.
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Explanation:

Step1: Recall the definition of period

The period of a periodic function is the horizontal length over which the function repeats its values.

Step2: Identify two corresponding points on the graph

For example, take the peak at \(x = 0\) and the next peak at \(x = 4\pi\).

Step3: Calculate the period

The distance between \(x = 0\) and \(x = 4\pi\) is \(4\pi-0 = 4\pi\). So the period of the graph is \(4\pi\).

Answer:

$4\pi$