# How do you find the exact values of tan^-1(0)?

Apr 20, 2017

$\arctan 0 = 0$

#### Explanation:

Let $\theta = \arctan 0$

$\tan \theta = 0$

$\tan \theta = \sin \frac{\theta}{\cos} \theta = 0$

$\sin 0 = 0 \therefore$

$\theta = 0$

$\arctan 0 = 0$

Note: $\theta$ can take other values such that $\tan \theta = 0$, but taking $\arctan 0$ would not equal these values.