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2017 ASDAN Math Tournament
22
22
Part of
2017 ASDAN Math Tournament
Problems
(1)
2017 Guts #22
Source:
11/25/2022
Let
x
=
2
sin
8
∘
+
2
sin
1
6
∘
+
⋯
+
2
sin
17
6
∘
x=2\sin8^\circ+2\sin16^\circ+\dots+2\sin176^\circ
x
=
2
sin
8
∘
+
2
sin
1
6
∘
+
⋯
+
2
sin
17
6
∘
. What is
arctan
(
x
)
\arctan(x)
arctan
(
x
)
?
2017
Guts Round