Parte:
Project ID:
9000037510
Accepted:
1
Clonable:
0
Easy:
0
Dados los números complejos
\[
a = \left (\cos \frac{\pi }
{3} + \mathrm{i}\sin \frac{\pi }
{3}\right ),\quad b = \sqrt{2}\left (\cos \frac{2\pi }
{3} + \mathrm{i}\sin \frac{2\pi }
{3}\right )
\]
determina el cociente \(\frac{a}
{b}\).
\(\frac{\sqrt{2}}
{2} \left (\cos \left (-\frac{\pi }
{3}\right ) + \mathrm{i}\sin \left (-\frac{\pi }
{3}\right )\right )\)
\(\frac{\sqrt{2}}
{2} \left (\cos \left (-\frac{\pi }
{3}\right ) -\mathrm{i}\sin \left (-\frac{\pi }
{3}\right )\right )\)
\(-\frac{\sqrt{2}}
{2} \left (\cos \left (-\frac{\pi }
{3}\right ) -\mathrm{i}\sin \left (-\frac{\pi }
{3}\right )\right )\)
\(-\frac{\sqrt{2}}
{2} \left (\cos \left (-\frac{\pi }
{3}\right ) + \mathrm{i}\sin \left (-\frac{\pi }
{3}\right )\right )\)