Talk:HSC Extension 1 and 2 Mathematics/4-Unit/Complex numbers

The formula for the argument is slightly wrong:
 * $$\theta = \tan^{-1}\frac{y}{x}\,$$

This only ever gives an answer that is a positive or neagative acute angle (i.e. the 1st or 4th quadrant): numbers in the other two must have $$\theta$$ adjusted by $$\pi$$ to get a correct answer. Perhaps more detail should be put into this later on, including how to do it without arctan (ie, instead doing it by arccos or arcsin, after factoring out the modulus)

How about saying ":$$\theta = \tan^{-1}|\frac{y}{x}|\,$$, and correcting for the quadrant as appropriate."?