Question

find the modules and argument of the complex number 1+ I/1- i​

Answer 1

Answer:

1+i/1-i = 1+i/1-i × 1+i/1+i = (1+i)²/1-i² = 1+2i+i²/1+1 =0+I

r=lzl= √0²+1²=1

let @ be the acute angle given by

tan@ =limg/rel => tan@= 1/0

@= π/2

re=0 and img =1

so the point lie on y axis

arg=π/2