9000035805 | math4u.vsb.cz

SubArea:

Complex numbers in algebraic and polar form

Level:

Project ID:

9000035805

Accepted:

1

Clonable:

0

Easy:

0

Given the complex numbers

a = 2 (\cos \frac{2 π}{3} + i \sin \frac{2 π}{3}), b = \sqrt{2} (\cos \frac{3 π}{4} + i \sin \frac{3 π}{4}),

find the product

a b

.

2 \sqrt{2} (\cos \frac{17 π}{12} + i \sin \frac{17 π}{12})

2 \sqrt{2} (\cos \frac{π}{2} + i \sin \frac{π}{2})

2 \sqrt{2} (\cos \frac{5 π}{7} + i \sin \frac{5 π}{7})

2 \sqrt{2} (\cos \frac{5 π}{12} + i \sin \frac{5 π}{12})