# How do you determine the period of the function: f(x)=3sin(x/2)+2?

Nov 9, 2015

$4 \pi$

#### Explanation:

$\sin \left(y\right) + 3$ has a period of $2 \pi$.

Let $x = 2 y$.

$\sin \left(\frac{x}{2}\right) + 3$ has a period of $2 \cdot 2 \pi = 4 \pi$.