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Mathematik-Online problems:

Problem 6: Polar Coordinate Representation


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Find the representation in polar coordinates of the following complex numbers:
a)      $ z = 2 + 2\sqrt{3}\,{\mathrm{i}}$           b)      $ z = \sqrt[5]{1+{\mathrm{i}}}$           c)      $ {\displaystyle{z =
\frac{r_1(\cos\varphi_1+{\mathrm{i}}\sin\varphi_1)}{r_2(\cos\varphi_2+{\mathrm{i}}\sin\varphi_2)}}}$
For $ r_1, r_2, \varphi_1, \varphi_2\in \mathbb{R}$, $ r_2\neq 0$.

(Authors: Kimmerle/Roggenkamp/Höfert)

Solution:


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  automatisch erstellt am 15. 10. 2004