Trigo evaluation

Geometry Level 3

14sec22π7+14sec24π7+14sec26π7= ?\large \dfrac{1}{4-\sec^{2}\frac{2\pi}{7}} + \dfrac{1}{4-\sec^{2}\frac{4\pi}{7}} + \dfrac{1}{4-\sec^{2}\frac{6\pi}{7}} = \ ?

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