period of the following graph.

Explanation:

Step1: Identify start - end of one cycle

The graph repeats itself. We can take the interval from (x = 0) to (x=\frac{6\pi}{5}) as one - complete cycle.

Step2: Calculate the period

The period (T) is the difference between the end - point and the start - point of one cycle. So (T=\frac{6\pi}{5}-0=\frac{6\pi}{5}).

Answer:

(\frac{6\pi}{5})