Question
Finding $n$ nth roots of a Complex Number Let $w=\cos (2 \pi / n)+i \sin (2 \pi / n),$ where $n$ is a positive integer.Show that the $n$ distinct roots of 1 are $$\text { 1. } w \cdot w^{2}, w^{3}, w^{n-1}$$
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We can write 1 as \(\cos{0}+i\sin{0}\). Show more…
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