Definition

How to Find nth Root of Unity?

As we have already discussed, if ‘Z’ is the nth root of unity, then it will satisfy the following:

Zn = 1

Thus, the positive value of the integer is the nth root of unity.

Now, we can write the above equation in polar form:

Zn = cos 0 + i sin 0

Zn = cos (0+2kπ) + i (0+sin 2kπ) [where, k is an integer]