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The center of a regular polygon of n sid...

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

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To find the vertex \( z_2 \) adjacent to the vertex \( z_1 \) of a regular polygon with \( n \) sides centered at the origin (0), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Position of Vertices**: The vertices of a regular polygon with \( n \) sides can be represented in the complex plane. The center of the polygon is at the origin \( z = 0 \). 2. **Identify the Known Vertex**: ...
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