# How do you find the value of arctan(tan((5pi)/6))?

It would be $\frac{5 \pi}{6}$ as $\arctan$ and $\tan$ camcel out.
$T a n$ answers the question: what ratio is there between the opposite and the adjoining side when the angle is $\frac{5 \pi}{6}$
$A r c \tan$ answers the opposite question: what angle belongs to a certain ratio of opposite and adjoining sides.
$\tan$ and $\arctan$ are opposing operators, comparable to square and square root, or multiplication and division. They cancel out each other.