MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
BMT Problems
2021 BMT
15
BMT 2021 Guts Round p15
BMT 2021 Guts Round p15
Source:
October 7, 2022
trigonometry
Problem Statement
Compute
cos
(
π
12
)
cos
(
π
24
)
cos
(
π
48
)
cos
(
π
96
)
.
.
.
cos
(
π
4
)
cos
(
π
8
)
cos
(
π
16
)
cos
(
π
32
)
.
.
.
\frac{\cos \left(\frac{\pi}{12}\right)\cos \left(\frac{\pi}{24}\right)\cos \left(\frac{\pi}{48}\right)\cos \left(\frac{\pi}{96}\right)...}{\cos \left(\frac{\pi}{4}\right)\cos \left(\frac{\pi}{8}\right)\cos \left(\frac{\pi}{16}\right)\cos \left(\frac{\pi}{32}\right)...}
cos
(
4
π
)
cos
(
8
π
)
cos
(
16
π
)
cos
(
32
π
)
...
cos
(
12
π
)
cos
(
24
π
)
cos
(
48
π
)
cos
(
96
π
)
...
Back to Problems
View on AoPS