# How do you graph y=tan(x/3) and include two full periods?

Nov 18, 2017

$\tan x$ has a period of $\pi$. $\tan \left(\frac{\pi}{3}\right)$ is $\tan x$ with a horizontal stretch by a factor of 3. This makes the period:
$\pi \cdot 3 = 3 \pi$, so for 2 periods is $6 \pi$