Answer
Please see below.
Work Step by Step
The red graph is the graph of $y=-2.5 \sin \frac{\pi }{3}x$, and the blue graph is the graph of $y=-2.5 \csc \frac{\pi }{3}x$.
The period of both functions are the same and equal $\frac{2\pi }{\frac{\pi }{3}}=6$.
