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Trigonometric Equality - IMO LongList 1979 - P6
Trigonometric Equality - IMO LongList 1979 - P6
Source:
May 29, 2011
trigonometry
geometry
similar triangles
Problem Statement
Prove that
1
2
⋅
4
sin
2
3
6
∘
−
1
=
cos
7
2
∘
\frac 12 \cdot \sqrt{4\sin^2 36^{\circ} - 1}=\cos 72^\circ
2
1
⋅
4
sin
2
3
6
∘
−
1
=
cos
7
2
∘
.
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