How do you evaluate the arctan of sqrt3/3?

Question

mathmale · Answer

One approach:  Ask yourself:  Which angle has a tanget of $$\frac{ \sqrt{3} }{ 2 }?$$

mathmale · Answer

The tangent is defined as $$\tan x = \frac{ opposite }{ adjacent }$$

mathmale · Answer

where "opposite" refers to the length of the side of the triangle opposite angle x, 
and "adjacent" refs. to the length of the side adjacent to x.

mathmale · Answer

sorry for the typos in my first response.

Ask yourself:  Which angle has tangent equal to $$\frac{ \sqrt{3} }{ 3 }?$$

mathmale · Answer

Note that this is the same as $$\frac{ 1 }{ \sqrt{3} }$$

mathmale · Answer

Here, the angle x is very frequently seen, and so you should know its sine and cosine by heart.  Knowing the sine and cosine, you can find the tangent also, by using the definition of "tangent."