=for timestamp
Di Feb 22 17:43:01 CET 2005

=head3 11. Hausaufgabe

=head4 Selbstgestellte Aufgabe

M<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>

M<\cos 105^\circ = \frac{1}{4}\sqrt{2} - \frac{1}{4}\sqrt{6};>

M<\sin 105^\circ = \frac{1}{4}\sqrt{2} + \frac{1}{4}\sqrt{6};>