Level:
Project ID:
2010004616
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Let \( z \in \mathbb{C}\). The value of the argument of \(z^6\) is \(270^{\circ}\) and \(|z|^6=27\). Find \(z\).
\( z=\frac{\sqrt{6}}{2}(1+\mathrm{i})\)
\( z=\frac{\sqrt{6}}{2}(1-\mathrm{i})\)
\( z=\sqrt{3}\mathrm{i}\)
\( z=3(\cos 45^{\circ} + \mathrm{i} \sin 45^{\circ})\)