# How do you find the vertical, horizontal and slant asymptotes of:  g(theta) = tan(theta)/(theta)?

Oct 25, 2017

See below.

#### Explanation:

Vertical asymptotes occur at values that make the function undefined. No interval has been specified so I will use:

$- 2 \pi \le \theta \le 2 \pi$

$\tan \left(\theta\right)$ is undefiled for, $- \frac{3 \pi}{2} - \pi , \frac{\pi}{2} , \frac{3 \pi}{2}$

The function is also undefined for $\theta = 0$ ( Division by 0 )