Polar form of rectangular coordinates

**derek1008** · November 11th 2012, 09:06 AM

How do write z=-5+2i in polar form?

**Plato** · November 11th 2012, 09:20 AM

Originally Posted by derek1008

How do write z=-5+2i in polar form?

The principle value of the argument of a complex number $z=a+bi$ not on any axis is found by the following.
$Arg(z) = \left\{ {\begin{array}{rl} {\arctan \left( {\frac{b}{a}} \right),} & {a > 0} \\ {\arctan \left( {\frac{b}{a}} \right) + \pi ,} & {a < 0\;\& \,b > 0} \\ {\arctan \left( {\frac{b}{a}} \right) - \pi ,} & {a < 0\;\& \,b < \pi } \\ \end{array} } \right.$

So $Arg(-5+2i)=~?$ and $|-5+2i|=~?$

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