Level:
Project ID:
2010013102
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Given the complex numbers \( a=2\left(\cos \frac{\pi}{3}+\mathrm{i}\sin \frac{\pi}{3}\right) \), \( b=\sqrt{2}\left(\cos \frac{5\pi}{4}+\mathrm{i}\sin \frac{5\pi}{4}\right) \) and \( c=2\sqrt{2}\left(\cos \left(-\frac{\pi}{6}\right)+\mathrm{i}\sin \left(-\frac{\pi}{6}\right)\right) \), evaluate \( a\cdot b\cdot c \).
\(8\left(\cos \frac{17\pi}{12}+\mathrm{i}\sin \frac{17\pi}{12} \right) \)
\(8\left(\cos \frac{17\pi}{12}-\mathrm{i}\sin \frac{17\pi}{12} \right) \)
\(8\left(\cos \frac{7\pi}{4}+\mathrm{i}\sin \frac{7\pi}{4} \right) \)
\(4\sqrt{2}\left(\cos \frac{17\pi}{12}+\mathrm{i}\sin \frac{17\pi}{12} \right) \)