Mathematik-Online problems: Problem 6: Polar Coordinate Representation

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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)

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automatisch erstellt am 15. 10. 2004