Answer
Please see below.

Work Step by Step
The red graph is the graph of $y=0.8 \sin \frac{x}{2}$, and the blue graph is the graph of $y=0.8 \sec \frac{x}{2}$.
The period of both functions are the same and equal $\frac{2\pi }{\frac{1}{2}}=4\pi$.
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