Answer
$\approx 3.7321$
Work Step by Step
RECALL:
$\cot{x} = \dfrac{1}{\tan{x}}$
Use the rule above to obtain:
$\cot{(\frac{\pi}{12})}=\dfrac{1}{\tan{(\frac{\pi}{12})}}$
Use a calculator in RAD mode then round-off the answer to four decimal places to obtain:
$\cot{(\frac{\pi}{12})} =2+\sqrt{3} \approx 3.7321$
