TeX Quellcode:

{\dfrac{z_1}{z_2}=\dfrac{3\left(\cos\left(\dfrac{\pi}{3}\right)+i\sin\left(\dfrac{\pi}{3}\right)\right)}{\dfrac{1}{4}\left(\cos\left(\dfrac{5\pi}{9}\right)+i\sin\left(\dfrac{5\pi}{9}\right)\right)}=\dfrac{3}{\dfrac{1}{4}}\left(\cos\left(\dfrac{\pi}{3}-\dfrac{5\pi}{9}\right)+i\sin\left(\dfrac{\pi}{3}-\dfrac{5\pi}{9}\right)\right)=12\left(\cos\left(\dfrac{-2\pi}{9}\right)+i\sin\left(\dfrac{-2\pi}{9}\right)\right) = 12\left(\cos\left(\dfrac{16\pi}{9}\right)+i\sin\left(\dfrac{16\pi}{9}\right)\right)}