2000002102 | math4u.vsb.cz

SubArea:

Powers and roots of complex numbers

Level:

Project ID:

2000002102

Accepted:

0

Clonable:

0

Easy:

1

Consider

z = \cos \frac{π}{4} + i \sin \frac{π}{4}

and find

z^{9}

.

\cos \frac{π}{4} + i \sin \frac{π}{4}

9 (\cos \frac{π}{4} + i \sin \frac{π}{4})

\cos \frac{9 π}{4} - i \sin \frac{9 π}{4}

9 (\frac{\sqrt{2}}{2} + i \frac{\sqrt{2}}{2})