9000070101 | math4u.vsb.cz

SubArea:

Powers and roots of complex numbers

Level:

Project ID:

9000070101

Source Problem:

Accepted:

1

Clonable:

1

Easy:

0

Find the algebraic form of the complex number:

{(\cos \frac{π}{4} + i \sin \frac{π}{4})}^{3}

- \frac{\sqrt{2}}{2} + i \frac{\sqrt{2}}{2}

- \frac{\sqrt{2}}{2} - i \frac{\sqrt{2}}{2}

\frac{\sqrt{2}}{2} - i \frac{\sqrt{2}}{2}

\frac{\sqrt{2}}{2} + i \frac{\sqrt{2}}{2}