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

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Answer 1 · 2017-11-18T11:00:11

See below.

$tanx$ has a period of $pi$ . $tan(pi/3)$ is $tanx$ with a horizontal stretch by a factor of 3. This makes the period:

$pi *3=3pi$ , so for 2 periods is $6pi$

This can be seen from the graphs:

enter image source here

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