1003082303 | math4u.vsb.cz

SubArea:

Complex numbers in algebraic and polar form

Level:

Project ID:

1003082303

Source Problem:

Accepted:

1

Clonable:

0

Easy:

0

Given the complex numbers

a = 6 \sqrt{2} (\cos \frac{π}{3} + i \cdot \sin \frac{π}{3})

,

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

and

c = 2 (\cos 240^{\circ} + i \cdot \sin 240^{\circ})

, evaluate

\frac{a}{b \cdot c}

.

\cos \frac{π}{6} + i \cdot \sin \frac{π}{6}

\cos \frac{11}{6} π + i \cdot \sin \frac{11}{6} π

4 (\cos \frac{π}{6} π + i \cdot \sin \frac{π}{6} π)

4 (\cos \frac{11}{6} π + i \cdot \sin \frac{11}{6} π)