# What is sin(0) divided by sin(0)?

Oct 12, 2016

Undefined

#### Explanation:

$\sin \left(0\right) = 0$

So:

$\sin \frac{0}{\sin} \left(0\right) = \frac{0}{0}$ which is undefined.

Division by $0$ is (almost always) undefined.

Note however that there are some limits which do exist:

${\lim}_{x \to 0} \sin \frac{x}{\sin} \left(x\right) = {\lim}_{x \to 0} 1 = 1$