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Baltic Way
1995 Baltic Way
7
sin^3(18)+sin^2(18) is one eighth
sin^3(18)+sin^2(18) is one eighth
Source: Baltic Way 1995
October 8, 2011
trigonometry
algebra proposed
algebra
Problem Statement
Prove that
sin
3
1
8
∘
+
sin
2
1
8
∘
=
1
8
\sin^318^{\circ}+\sin^218^{\circ}=\frac18
sin
3
1
8
∘
+
sin
2
1
8
∘
=
8
1
.
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