Question Number 126231 by mohammad17 last updated on 18/Dec/20
$${prove}\:{that}\::{Im}\left({iz}\right)={Re}\left({z}\right) \\ $$
Answered by floor(10²Eta[1]) last updated on 18/Dec/20
$$\mathrm{z}=\mathrm{a}+\mathrm{bi}\Rightarrow\mathrm{iz}=\mathrm{ai}−\mathrm{b} \\ $$$$\mathrm{Im}\left(\mathrm{iz}\right)=\mathrm{a} \\ $$$$\mathrm{Re}\left(\mathrm{z}\right)=\mathrm{a} \\ $$