# Traumatizing Trigonometry

Geometry Level pending

What is the maximum value of $$x$$ which satisfies the equation $${ 8 }^{ \left( 1+\left| \cos { x } \right| +\left| \cos ^{ 2 }{ x } \right| +\left| \cos ^{ 3 }{ x } \right| +\left| \cos ^{ 4 }{ x } \right| +............. \right) }={ 4 }^{ 3 }$$ in the range of $$\left( -180^\circ ,180^\circ \right)$$.

$$Note:$$