Answer
0.230868
Work Step by Step
We simplify the given expression using the identity $\frac{\cos\theta}{\sin\theta}=\cot\theta=\frac{1}{\tan\theta}$ and then approximate the value using a calculator.
$\frac{\cos 77^{\circ}}{\sin 77^{\circ}}=\cot 77^{\circ}=\frac{1}{\tan 77^{\circ}}\approx 0.230868$
