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Mathematics
Mathematics
Problem
Find the value
tan
π
5
+
2
tan
2
π
5
+
4
cot
4
π
5
⋅
cot
π
5
\tan \frac{\pi}{5} + 2 \tan \frac{2\pi}{5} + 4 \cot \frac{4\pi}{5} \cdot \cot \frac{\pi}{5}
tan
5
π
+
2
tan
5
2
π
+
4
cot
5
4
π
⋅
cot
5
π
.
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