# How do you graph tan(x/2) + 1?

Mar 29, 2018

graph{tan(x/2)+1 [-10, 10, -5, 5]}

#### Explanation:

You first have to know what the graph of $\tan \left(x\right)$ looks like

graph{tan(x) [-10, 10, -5, 5]}

It has vertical assymptotes at $\pi$ intervals so the period is $\pi$ and when x=0 y=0

So if you have $\tan \left(x\right) + 1$ it shifts all the y values up by one

$\tan \left(\frac{x}{2}\right)$ is a vertical shift and it doubles the period to $2 \pi$

graph{tan(x/2)+1 [-10, 10, -5, 5]}