# How do you find the exact value of #Arctan(1/2)#?

##### 3 Answers

#### Explanation:

these are calculator values

In [0, 2

#### Explanation:

tan x can be any number on the real line, including rational numbers i.e. integer/integer.

Inversely, the angle(s) are transcendental numbers (sans 0 for 0), in radian measure, that might approximate to rational numbers, in degree measure. For example, arctan 1 =

This is a matter of our convenience, by dividing

is the best expression for the exact value of

#### Explanation:

There's essentially no way to find an "exact" value of

By the typically vacuous arithmetic of the real numbers

is the exact value of

In general the relationship between a slope (which is what a tangent is) and an angle is transcendental. Among rational tangents, only