The center of a regular polygon of \( n \) sides is located at the point \( z=0 \), and one of i...

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The center of a regular polygon of \( n \) sides is located at the point \( z=0 \), and one of its vertices \( z_{1} \) is known. If \( z_{2} \) be the vertex adjacent to \( z_{1} \), then find \( z_{2} \).
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