Consider the equation z^13 = (1 - √(3)i). Find the value of z which satisfies this equation and

Question

Sri K · Accepted Answer

Step 1: We can write the complex number $1 - sqrt{3}i$ in polar form as $2text{cis}left(-fra

Consider the equation $z^{13} = (1 - \sqrt{3}i)$. Find the value of $z$ which satisfies this equation and which has the second smallest positive argument $\theta$, $0 < \theta < 2\pi$. $r = 2^{\frac{1}{13}}$ and $\theta = \frac{8\pi}{39}$