Answer
$$ - 11.4266$$
Work Step by Step
$$\eqalign{
& \cot 3.0543 \cr
& {\text{Use the reciprocal identity }}\cot \theta = \frac{1}{{\tan \theta }} \cr
& \cot 3.0543 = \frac{1}{{\tan 3.0543}} \cr
& {\text{Using a calculator into radian mode we obtain}} \cr
& \cot 3.0543 \approx \frac{1}{{ - 0.087515}} \cr
& \cot 3.0543 \approx - 11.4266 \cr} $$