5. The line $y=x$ intersects the graph of the function $y=\cot x$ in the intervals $(-\pi, 0)$ and $(0, \pi)$ at points $A$ and $B$, respectively. The length of the line segment $AB$ is $\qquad$ (rounded to 0.01).
5.2.43

Translate the text above into English, please retain the original text's line breaks and format, and output the translation result directly. 

However, since the provided text "5.2.43" does not contain any non-English words or phrases, it remains unchanged in the translation:

5.2.43