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18
Math Prize 2010 Problem 18
Math Prize 2010 Problem 18
Source:
November 14, 2010
trigonometry
Problem Statement
If
a
a
a
and
b
b
b
are positive integers such that
8
+
32
+
768
=
a
cos
π
b
,
\sqrt{8 + \sqrt{32 + \sqrt{768}}} = a \cos \frac{\pi}{b} \, ,
8
+
32
+
768
=
a
cos
b
π
,
compute the ordered pair
(
a
,
b
)
(a, b)
(
a
,
b
)
.
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