Část:
Project ID:
9000035805
Accepted:
1
Clonable:
0
Easy:
0
Jsou dána komplexní čísla \(a = 2\left (\cos \frac{2\pi }
{3} + \mathrm{i}\sin \frac{2\pi }
{3}\right )\),
\(b = \sqrt{2}\left (\cos \frac{3\pi }
{4} + \mathrm{i}\sin \frac{3\pi }
{4}\right )\). Součin \(a\cdot b\)
se rovná:
\(2\sqrt{2}\left (\cos \frac{17\pi }
{12} + \mathrm{i}\sin \frac{17\pi }
{12}\right )\)
\(2\sqrt{2}\left (\cos \frac{\pi }{2} + \mathrm{i}\sin \frac{\pi }{2}\right )\)
\(2\sqrt{2}\left (\cos \frac{5\pi }
{7} + \mathrm{i}\sin \frac{5\pi }
{7}\right )\)
\(2\sqrt{2}\left (\cos \frac{5\pi }
{12} + \mathrm{i}\sin \frac{5\pi }
{12}\right )\)