Answer
$3.1144804$ radian
Work Step by Step
Ensuring that the calculator is in radian mode, we enter $\cot^{-1} (-36.874610)$ as $\tan^{-1} (\frac{1}{-36.874610})$ into the calculator and solve:
$\tan^{-1} (\frac{1}{-36.874610})\approx-0.02711229$ radian
Adding the solution to $\pi$ radian:
$\pi+(-0.02711229)=3.1144804$ radian