# How do you evaluate arctan(2)?

Feb 6, 2017

$x = {63}^{\circ} 43 + k {180}^{\circ}$

#### Explanation:

Use calculator and unit circle
tan x = 2 --> calculator --> arc $x = {63}^{\circ} 43$
Unit circle gives another arc x that has the same tan value:
$x = {63}^{\circ} 43 + {180}^{\circ} = {243}^{\circ} 43$
Answers for (0, 360):
${63}^{\circ} 43 , {243}^{\circ} 43$
$x = {63}^{\circ} 43 + k {180}^{\circ}$