TeX Quellcode:

{ \dfrac{8}{9} \left(\cos\left(\dfrac{\pi}{2} \right)+i \sin\left(\dfrac{\pi}{2} \right) \right) \; : \; \left( \dfrac{16}{27} \left(\cos\left(\dfrac{3\pi}{10} \right)+i \sin\left(\dfrac{3\pi}{10} \right) \right) \right)\; = \; \dfrac{8}{9} \cdot \, \dfrac{27}{16} \left(\cos\left(\dfrac{\pi}{2}-\dfrac{3\pi}{10} \right)+i \sin\left(\dfrac{\pi}{2}-\dfrac{3\pi}{10} \right) \right) \; = \; \dfrac{3}{2} \left(\cos\left(\dfrac{\pi}{5}\right)+i \sin\left(\dfrac{\pi}{5}\right)\right)}