Answer
$-0.71592968$
Work Step by Step
Step 1: Using the reciprocal identity $\cot\theta=\frac{1}{\tan\theta}$,
$\cot 305.6=\frac{1}{\tan 305.6}$
Step 2: We first make sure that the calculator is in degree mode.
Step 3: We then type $\frac{1}{\tan 305.6}$ into the calculator.
Step 4: Solving, $\frac{1}{\tan 305.6}\approx-0.71592968$.