# How do you calculate arc cot(tan ((79pi)/180))?

$\left(\frac{11}{180}\right) \pi$, radian.
$\tan \left(\frac{79 \pi}{180}\right) = \cot \left(\frac{\pi}{2} - \frac{79 \pi}{180}\right) = \cot \left(\frac{11 \pi}{180}\right)$
Use $a r c \cot \left(\cot a\right) = a$
Here, the given expression is $a r c \cot \left(\frac{11 \pi}{180}\right) = \left(\frac{11}{180}\right) \pi$.