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Mathematics
Mathematics
Problem
Find the value of
(
1
+
cos
π
8
)
(
1
+
cos
3
π
8
)
(
1
+
cos
5
π
8
)
(
1
+
cos
7
π
8
)
\left( 1 + \cos \frac{\pi}{8} \right) \left( 1 + \cos \frac{3\pi}{8} \right) \left( 1 + \cos \frac{5\pi}{8} \right) \left( 1 + \cos \frac{7\pi}{8} \right)
(
1
+
cos
8
π
)
(
1
+
cos
8
3
π
)
(
1
+
cos
8
5
π
)
(
1
+
cos
8
7
π
)
.
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