Complex Analysis: Theory and Applications · Problem 1.4.13

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · arg-special-values

Problem

Show that, if z≠0z \neq 0, then (a) Arg(zz‾)=0\text{Arg}(z\overline{z}) = 0. (b) Arg(z+z‾)=0\text{Arg}(z + \overline{z}) = 0 when Re(z)>0\text{Re}(z) > 0.

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