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Mathematics
Mathematics
Problem
Prove that
sin
π
5
sin
2
π
5
sin
3
π
5
sin
4
π
5
=
5
16
\sin \frac{\pi}{5} \sin \frac{2\pi}{5} \sin \frac{3\pi}{5} \sin \frac{4\pi}{5} = \frac{5}{16}
sin
5
π
sin
5
2
π
sin
5
3
π
sin
5
4
π
=
16
5
.
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