Answer
$\approx 5.6713$
Work Step by Step
RECALL:
$\cot{x} = \dfrac{1}{\tan{x}}$
Use the rule above to obtain:
$\cot{(\frac{\pi}{18})}=\dfrac{1}{\tan{(\frac{\pi}{18})}}$
Use a calculator in RAD mode then round-off the answer to four decimal places to obtain:
$\cot{(\frac{\pi}{18})} \approx 5.6713$