Answer
$0.78357295$ radian
Work Step by Step
Ensuring that the calculator is in radian mode, we enter $\cot^{-1} (1.0036571)$ as $\tan^{-1} (\frac{1}{1.0036571})$ into the calculator and solve:
$\tan^{-1} (\frac{1}{1.0036571})\approx0.78357295$ radian