Answer:
The correct option is B. pi/6
Step-by-step explanation:
[tex]\text{We are given a equation : }\tan x =\frac{\sqrt{3}}{3}[/tex]
We need to find the solution of this given equation, so first rationalizing the R.H.S. of the given equation.
[tex]\implies\tan x=\frac{\sqrt{3}}{3}\\\\\implies \tan x=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{\sqrt{3}}\\\\\implies\tan x=\frac{3}{3\sqrt{3}}\\\\\implies\tan x=\frac{1}{\sqrt3}\\\\ \implies x =\tan^{-1}\frac{1}{\sqrt3}\\\\\implies x =\tan^{-1}\tan\frac{\pi}{6}\\\\\implies\bf x =\frac{\pi}{6}[/tex]
Therefore, The correct option is B. pi/6
