Část:
Project ID:
2000002102
Accepted:
0
Clonable:
0
Easy:
1
Určete \(z^9\), pokud platí, že \( z= \cos{\frac{\pi}{4}} + i\sin{\frac{\pi}{4}} \).
\( \cos{\frac{\pi}{4}} + i\sin{\frac{\pi}{4}} \)
\( 9 \left(\cos{\frac{\pi}{4}} + i\sin{\frac{\pi}{4}}\right) \)
\( \cos{\frac{9\pi}{4}} - i\sin{\frac{9\pi}{4}} \)
\( 9\left(\frac{\sqrt{2}}{2} + i\frac{\sqrt{2}}{2} \right) \)