(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Express-iin polar form, using the principal value of the argument.

2. Relevant equations

modulus = [tex]\sqrt{a^2 + b^2}[/tex]

[tex]\theta[/tex] = arg(0 - i)

3. The attempt at a solution

Well, the complex number is 0 -i. a = 0, b = -1 so:

[tex]r = \sqrt{0^2 + (-1)^2}[/tex] which comes out to be 1.

But for the argument, [tex]\theta[/tex] comes out to be:

[tex]\tan\theta = \frac{-1}{0}[/tex]

Ummm...where do we go from here?! Also, err, what IS the principal argument of the argument? I mean, it seems to be that the value of [tex]\theta[/tex] changes depending not where on the CAST diagram it is, but on where in the Argand diagram the complex number turns out to be...but, err, not always. Like, if it lies in the fourth quadrant, you don't do 360 - [tex]\theta[/tex]...

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# Complex numbers question.

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