If tan x = 3 cot x then x = ?

Given: tanx = 3cotx

$\tan x=3 \cot x$

$\Rightarrow \tan x=3 \frac{1}{\tan x} \quad\left(\because \cot x=\frac{1}{\tan x}\right)$

$\Rightarrow \tan ^{2} x=3$

$\Rightarrow \tan x=\sqrt{3}$

$\Rightarrow x=60^{\circ} \quad\left(\because \tan 60^{\circ}=\sqrt{3}\right)$

Hence, the correct option is (a).