\frac{z_1}{z_2}=|\frac{z_1}{z_2}|\:\left\lbrack\cos\left(\alpha_1-\alpha_2\right)-\sin\left(\alpha_1-\alpha_2\right)\right\rbrack
\frac{\cos\left(-\frac{\pi}{4}\right)+i\:\sin\left(-\frac{\pi}{4}\right)}{2\sqrt2\left(\cos\:\frac{3\pi}{4}+i\:\sin\:\frac{3\pi}{4}\right)}
\large =\Large \frac{\sqrt {2}}{4}\large \left( \cos {\frac{3\pi}{2}}+\text{i}\sin {\frac{3\pi}{2}}\right)