9000037510 | math4u.vsb.cz

SubArea:

Complex numbers in algebraic and polar form

Level:

Project ID:

9000037510

Accepted:

1

Clonable:

0

Easy:

0

Given complex numbers

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

find the quotient

\frac{a}{b}

.

\frac{\sqrt{2}}{2} (\cos (- \frac{π}{3}) + i \sin (- \frac{π}{3}))

\frac{\sqrt{2}}{2} (\cos (- \frac{π}{3}) - i \sin (- \frac{π}{3}))

- \frac{\sqrt{2}}{2} (\cos (- \frac{π}{3}) - i \sin (- \frac{π}{3}))

- \frac{\sqrt{2}}{2} (\cos (- \frac{π}{3}) + i \sin (- \frac{π}{3}))