A geometry problem by Harry Jones

Geometry Level 4

\[ \large{\begin{align}\frac{\sin^2{\frac{2\pi }{7}}}{\sin^2{\frac{\pi }{7}}}+\frac{\sin^2{\frac{4\pi }{7}}}{\sin^2{\frac{2\pi }{7}}}+\frac{\sin^2{\frac{\pi }{7}}}{\sin^2{\frac{4\pi }{7}}}\end{align}} = \, ? \]

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