Answer
$121.267893^{\circ}$
Work Step by Step
Ensuring that the calculator is in degree mode, we enter $\cot^{-1} (-0.60724226)$ as $\tan^{-1} (\frac{1}{-0.60724226})$ into the calculator and solve:
$\tan^{-1} (\frac{1}{-0.60724226})\approx-58.732107^{\circ}$
Adding the solution to $180^{\circ}$:
$180^{\circ}+(-58.732107)^{\circ}=121.267893^{\circ}$
