Question

Find the quotient of the complex numbers. Leave answer in polar form.

Answer 1

$\dfrac{z_1}{z_2}=\dfrac{\sqrt3}{\sqrt6}\left(\cos\left(\dfrac{7\pi}4-\dfrac{9\pi}4\right)+i\sin\left(\dfrac{7\pi}4-\dfrac{9\pi}4\right)\right)$
$\dfrac{z_1}{z_2}=\sqrt2\left(\cos\left(-\dfrac{2\pi}4\right)+i\sin\left(-\dfrac{2\pi}4\right)\right)$
$\dfrac{z_1}{z_2}=\sqrt2\left(\cos\left(-\dfrac\pi2\right)+i\sin\left(-\dfrac\pi2\right)\right)$
$\dfrac{z_1}{z_2}=\sqrt2\left(\cos\dfrac{3\pi}2+i\sin\dfrac{3\pi}2\right)$