Real Part

Algebra Level 3

\[ { (\cos { 60^\circ } +i\sin { 60^\circ } ) }^{ 12 }+{ (\cos { 60^\circ } +i\sin { 60^\circ } ) }^{ 11 }+\cdots \\ + (\cos { 60^\circ } +i\sin { 60^\circ } )+12\]

Calculate the real part of the expression above.

Clarification: \(i=\sqrt { -1 } \).

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