# How do you find the maximum of the graph y=4sin(x+pi/3)?

Maximum of $4 \sin \left(x + \frac{\pi}{3}\right)$ is $\textcolor{g r e e n}{4}$
$\sin \left(\theta\right)$ has a range of $\left[+ 1. - 1\right]$ for all values of $\theta$ (including $\left(x + \frac{\pi}{3}\right)$
Therefore $\left(x + \frac{\pi}{3}\right)$ has a maximum of $+ 1$
and $y = 4 \cdot \sin \left(x + \frac{\pi}{3}\right)$ has a maximum of $4 \times \left(+ 1\right) = 4$