Question

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

Answer 1

See below.

Explanation:

`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: