# How do you graph y=4cot(1/3t) over the interval [-3pi, 3pi]?

Mar 28, 2017

Using a graphing calculator:
Change the function to $\tan$: $y = \frac{4}{\tan \left(\frac{1}{3} t\right)}$

#### Explanation:

$\cot \theta = \frac{1}{\tan \theta}$

Using a graphing calculator:
Change the function to $\tan$: $y = \frac{4}{\tan \left(\frac{1}{3} t\right)}$

Change your WINDOW to Xmin = $- 3 \pi$, Xmax = $3 \pi$
There are holes at $\frac{- 3 \pi}{2}$ and $\frac{3 \pi}{2}$
There are vertical asymptotes at $x = 0$ and $x = - 3 \pi$