Answer:
0.7796
Explanation:
We want to evaluate the trigonometric function:

First, recall that cotangent is the inverse of tangent, therefore:
![\cot(52.06)\operatorname{\degree}=\frac{1}{\tan(52.06)\operatorname{\degree}}]()
Following the table, the angle in degrees is given to 2 decimal places, therefore, the accuracy should be to 4 significant figures:
![\cot(52.06)\operatorname{\degree}=(1)/(\tan(52.06)\degree)=0.7796]()
The result is 0.7796.