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

Answer:

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

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}).