# A complex cosine

Geometry Level 5

$\large \dfrac { \cos { \left( \dfrac { \pi }{ 504 } \right) } +\cos { \left( \dfrac { \pi }{ 1008 } \right) } }{ \cos { \left( \dfrac { \pi }{ 672 } \right) } } = x + \dfrac1x$

Let $$x$$ a complex number different from zero satisfying the equation above. The option that correctly express the value of $${ x }^{ 2016 }$$ is...

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