Convert the complex number 1+i/1-i in the polar form

1 + i /1-i * 1+i/1+i =(1+i)2/ 1 - i2

1 +i2 +2 i /2 

2 i /2 = i 

now we have to show this in polar form i.e 

r{ cos @ + i sin @ }

(mood of r )2= re(z)2 +im(z)2
r = 1
 
z = o +i 

then point on (0,1) representing  z = o +i lies on positive direction of imaginary axis therefore angle is pi / 2
 the polar form
 
[ cos pi/2 +i sin pi/2] 
  hope this will help you 
 

  • 10
What are you looking for?