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Mathematics
Mathematics
Problem
The value of
2
sin
(
π
8
)
sin
(
2
π
8
)
sin
(
3
π
8
)
sin
(
5
π
8
)
sin
(
6
π
8
)
sin
(
7
π
8
)
2\sin\left(\frac{\pi}{8}\right)\sin\left(\frac{2\pi}{8}\right)\sin\left(\frac{3\pi}{8}\right)\sin\left(\frac{5\pi}{8}\right)\sin\left(\frac{6\pi}{8}\right)\sin\left(\frac{7\pi}{8}\right)
2
sin
(
8
π
)
sin
(
8
2
π
)
sin
(
8
3
π
)
sin
(
8
5
π
)
sin
(
8
6
π
)
sin
(
8
7
π
)
[Aug. 26, 2021 (II)] (a)
1
4
2
\frac{1}{4\sqrt{2}}
4
2
1
(b)
1
4
\frac{1}{4}
4
1
(c)
1
8
\frac{1}{8}
8
1
(d)
1
8
2
\frac{1}{8\sqrt{2}}
8
2
1
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