Recent content by Snowfall

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    Undergrad When does the argument of a complex number follow the sum of angles formula?

    You mean like defining, for real numbers a, b, c, d, z_{1} := ai+b, ~ z_{2} := ci+d then solving the following daunting looking equation: \tan^{-1}\left(\frac{ad+bc}{bd-ac}\right) = \tan^{-1}\frac{b}{a}+\tan^{-1}\frac{d}{c}. Please by all means show me how to solve that one! :eek:
  2. S

    Undergrad When does the argument of a complex number follow the sum of angles formula?

    When is it true that \arg\left(z_1 z_2\right) = \arg(z_1) + \arg(z_2) ?