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Question Number 126231 by mohammad17 last updated on 18/Dec/20

prove that :Im(iz)=Re(z)

$${prove}\:{that}\::{Im}\left({iz}\right)={Re}\left({z}\right) \\ $$

Answered by floor(10²Eta[1]) last updated on 18/Dec/20

z=a+bi⇒iz=ai−b  Im(iz)=a  Re(z)=a

$$\mathrm{z}=\mathrm{a}+\mathrm{bi}\Rightarrow\mathrm{iz}=\mathrm{ai}−\mathrm{b} \\ $$$$\mathrm{Im}\left(\mathrm{iz}\right)=\mathrm{a} \\ $$$$\mathrm{Re}\left(\mathrm{z}\right)=\mathrm{a} \\ $$

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