Answer
$\frac{\cos 77}{\sin 77}$ $\approx$ 0.23086819
Work Step by Step
$\frac{\cos 77}{\sin 77}$
$\frac{\cos\theta}{\sin\theta}$ = $\cot$ $\theta$
Therefore:
$\frac{\cos 77}{\sin 77}$ = $\cot$ 77$^{\circ}$
$\cot$ 77$^{\circ}$ $\approx$ 0.23086819
Therefore:
$\frac{\cos 77}{\sin 77}$ $\approx$ 0.23086819