Question

Найдите модуль и аргумент числа
8+2j/5-3j
Срочно

Answer 1

$frac{8+2i}{5-3i}=frac{(8+2i)(5+3i)}{(5-3i)(5+3i)}=frac{40-6+10i+24i}{25+9}=frac{34+34i}{34}=1+i\|1+i|=sqrt{1+1} = sqrt{2}\arg(1+i) = arctan(frac{1}{1}) = arctan 1=frac{pi}{4}$