A value of $n$ such that $\left( \frac{\sqrt{3}}{2} + \frac{i}{2} \right)^{n} = 1$ is

Question

Dr. Abubacker · Accepted Answer

(a)
Given, $\left( \frac{\sqrt{3}}{2} + \frac{i}{2} \right)^{n} = 1$
$\Rightarrow \ \ \ \ \left( cis\frac{\pi}{6} \right)^{n} = 1\ \ \  \Rightarrow \ \ \ n = 12$

Q. A value of $n$ such that $\left( \frac{\sqrt{3}}{2} + \frac{i}{2} \right)^{n} = 1$ is

Explanation

Reviewed by Dr. Abubacker

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