9000070101
Část:
A
Určete algebraický tvar daného komplexního čísla.
\[\left (\cos \frac{\pi }{4} + \mathrm{i}\sin \frac{\pi }{4}\right )^{3}\]
\(-\frac{\sqrt{2}}
{2} + \mathrm{i}\frac{\sqrt{2}}
{2} \)
\(-\frac{\sqrt{2}}
{2} -\mathrm{i}\frac{\sqrt{2}}
{2} \)
\(\frac{\sqrt{2}}
{2} -\mathrm{i}\frac{\sqrt{2}}
{2} \)
\(\frac{\sqrt{2}}
{2} + \mathrm{i}\frac{\sqrt{2}}
{2} \)