rmine the period of the following graph.

Answer:

$\frac{\pi}{2}$

Explanation:

Step1: Identify start - end of one cycle

Observe the graph. One complete cycle starts at $x =-\frac{\pi}{8}$ and ends at $x=\frac{3\pi}{8}$.

Step2: Calculate the period

Subtract the starting - point from the ending - point: $\frac{3\pi}{8}-(-\frac{\pi}{8})=\frac{3\pi + \pi}{8}=\frac{4\pi}{8}=\frac{\pi}{2}$.