9000070101

SubArea: 
Powers and roots of complex numbers
Level: 
A
Project ID: 
9000070101
Source Problem: 
2010004604
Accepted: 
1
Clonable: 
1
Easy: 
0
Find the algebraic form of the complex number: \[ \left (\cos \frac{\pi } {4} + \mathrm{i}\sin \frac{\pi } {4}\right )^{3} \]
\(-\frac{\sqrt{2}} {2} + \mathrm{i}\frac{\sqrt{2}} {2} \)
\(-\frac{\sqrt{2}} {2} -\mathrm{i}\frac{\sqrt{2}} {2} \)
\(\frac{\sqrt{2}} {2} -\mathrm{i}\frac{\sqrt{2}} {2} \)
\(\frac{\sqrt{2}} {2} + \mathrm{i}\frac{\sqrt{2}} {2} \)