Theory of Intelligence
11TH•Mathematics•Complex Numbers•Exercise 1.5

Theory

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Theory

  • If w=a+biw=a+bi and Arg⁡(w)=θ\operatorname{Arg}(w)=\theta then (when appropriate):
tan⁡θ=ba\tan\theta=\frac{b}{a}
  • Also:
Arg⁡(z1z2)=Arg⁡(z1)−Arg⁡(z2) (mod 2π)\operatorname{Arg}\left(\frac{z_1}{z_2}\right)=\operatorname{Arg}(z_1)-\operatorname{Arg}(z_2)\ (\text{mod }2\pi)

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