1003123402 | math4u.vsb.cz

SubArea:

Powers and roots of complex numbers

Level:

Project ID:

1003123402

Accepted:

1

Clonable:

0

Easy:

0

Given the complex number

b = \sqrt[3]{2} \cdot (\cos \frac{5}{6} π + i \cdot \sin \frac{5}{6} π)

, find the polar form of

b^{9}

.

8 \cdot (\cos \frac{3}{2} π + i \cdot \sin \frac{3}{2} π)

64 \cdot (\cos \frac{1}{2} π - i \cdot \sin \frac{1}{2} π)

8 \cdot (\cos \frac{1}{2} π - i \cdot \sin \frac{1}{2} π)

64 \cdot (\cos \frac{3}{2} π + i \cdot \sin \frac{3}{2} π)