# How do you find the value of cot 0?

Apr 21, 2018

$\cot 0$ doesn't exist; the cotangent doesn't exist for values of $x = n \pi .$

#### Explanation:

Recall that $\cot x = \cos \frac{x}{\sin} x .$ Then,

$\cot 0 = \cos \frac{0}{\sin} 0$.

$\cos 0 = 1 , \sin 0 = 0 ,$

so

$\cot 0 = \frac{1}{0}$ doesn't exist (division by zero). This gives rise to the fact that $\cot x$ doesn't exist for $x = n \pi .$