Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.
jsMath

Lösung 3.2:5d

Aus Online Mathematik Brückenkurs 2

(Unterschied zwischen Versionen)
Wechseln zu: Navigation, Suche
K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel))
K (Solution 3.2:5d moved to Lösung 3.2:5d: Robot: moved page)

Version vom 10:40, 11. Mär. 2009

When dividing two complex numbers, the numerator's magnitude is divided by the denominator's magnitude and the numerator's argument is subtracted from the numerator's argument.

The argument of the quotient i(1+i) is therefore

argi1+i=argi−arg(1+i).

We obtain the argument of i and 1+i by drawing the numbers in the complex plane and using a little trigonometry.

Hence, we obtain

argi1+i=argi−arg(1+i)=2−4=4.
Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_3.2:5d“