9000035805
Część:
B
Dane są liczby zespolone
\[
\text{$a = 2\left (\cos \frac{2\pi }
{3} + \mathrm{i}\sin \frac{2\pi }
{3}\right )$, $b = \sqrt{2}\left (\cos \frac{3\pi }
{4} + \mathrm{i}\sin \frac{3\pi }
{4}\right )$,}
\]
oblicz iloczyn \(ab\).
\(2\sqrt{2}\left (\cos \frac{17\pi }
{12} + \mathrm{i}\sin \frac{17\pi }
{12}\right )\)
\(2\sqrt{2}\left (\cos \frac{\pi }{2} + \mathrm{i}\sin \frac{\pi }{2}\right )\)
\(2\sqrt{2}\left (\cos \frac{5\pi }
{7} + \mathrm{i}\sin \frac{5\pi }
{7}\right )\)
\(2\sqrt{2}\left (\cos \frac{5\pi }
{12} + \mathrm{i}\sin \frac{5\pi }
{12}\right )\)
