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question 11 next question determine the period of the following graph. …

Question

question 11 next question determine the period of the following graph. answer

Explanation:

Step1: Recall the definition of period

The period of a periodic function is the horizontal length of one complete cycle.

Step2: Identify two corresponding points

Take two consecutive peaks (or troughs). For example, from \(x = 0\) to \(x=\frac{4\pi}{3}\).

Step3: Calculate the difference

The difference between these \(x -\) values: \(\frac{4\pi}{3}-0=\frac{4\pi}{3}\). So the period of the graph is \(\frac{4\pi}{3}\).

Answer:

$\frac{4\pi}{3}$