Just a quick couple of questions, when working out the argument of a complex number, does the result always have to be between $\displaystyle \pi$ and $\displaystyle -\pi$?

Also, if the number was $\displaystyle 1 - i$ for example, is the answer, $\displaystyle \tan^{-1}\frac{-1}{1}$ or $\displaystyle \tan^{-1}\frac{1}{1}$?

Thanks for your help, just forgot a couple of things from earlier in the year

Craig