# How do you find the period of y=sin(0.6x)?

Oct 19, 2016

Period is $\frac{10 \pi}{3}$

#### Explanation:

If we have an equation of the type $y = p \sin \left(q x + r\right) + s$,

$p$ gives its amplitude ,
$\frac{2 \pi}{q}$ is period ,
phase shift is $\frac{r}{q}$ and
$s$ is vertical shift

Hence in the equation $y = \sin \left(0.6 x\right)$

Period is $\frac{2 \pi}{0.6} = \frac{20 \pi}{6} = \frac{10 \pi}{3}$