0.0.1 ↑ 11. Hausaufgabe
0.0.1.1 ↑ Selbstgestellte Aufgabe
E(105^\circ) = E(60^\circ + 45^\circ) = E(60^\circ)E(45^\circ) = \left(\frac{1}{2} + \mathrm{i}\frac{1}{2}\sqrt{3}\right) \left(\frac{1}{2}\sqrt{2} + \mathrm{i}\frac{1}{2}\sqrt{2}\right) = \frac{1}{4}\sqrt{2} - \frac{1}{4}\sqrt{6} + \mathrm{i}\left(\frac{1}{4}\sqrt{2} + \frac{1}{4}\sqrt{6}\right); \Rightarrow
\cos 105^\circ = \frac{1}{4}\sqrt{2} - \frac{1}{4}\sqrt{6};
\sin 105^\circ = \frac{1}{4}\sqrt{2} + \frac{1}{4}\sqrt{6};