2000002108

Level: 
Project ID: 
2000002108
Accepted: 
0
Clonable: 
0
Easy: 
1
Find the value of the principal argument \( \varphi\) of \( \left(3\left(\cos{\frac{3\pi}{2} }+ i\sin{\frac{3\pi}{2} }\right)\right)^{13} \). The principal value is the corresponding angle \(\varphi \in (-\pi; \pi] \).
\( -\frac{\pi}{2} \)
\( \frac{\pi}{2} \)
\( 0 \)
\( \frac{3}{26}\pi \)