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8.3
2018 PUMaC Live Round 8.3
2018 PUMaC Live Round 8.3
Source:
January 13, 2019
PuMAC
Live Round
Problem Statement
If
a
a
a
and
b
b
b
are positive integers such that
3
2
+
2
+
3
=
a
cos
π
b
3\sqrt{2+\sqrt{2+\sqrt{3}}}=a\cos\frac{\pi}{b}
3
2
+
2
+
3
=
a
cos
b
π
, find
a
+
b
a+b
a
+
b
.
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