Question

The argument of 1-i sqrt{3}/1+i sqrt{3}

Answer 1

Hey... Try Rationalising the Form to end up with irrational numbs only in the numerator part... Will Ya ?

Answer 2

pls explain it

Answer 3

is it ?
\(\Huge \frac{1-i \sqrt{3}}{1+i \sqrt{3}}\)

Answer 4

Uh.. Rationalising includes changing the sign of the denominator and multiplyin it Up and down/....
(A+iB)/(A−iB)
can be written as (A+iB)(A+iB)/(A-iB)(A+iB)

Answer 5

just write it into standers formula of complex numbers which is :-
z=x+yi
Hint multibly by
\(\Huge \frac{1+i \sqrt{3}}{1+i \sqrt{3}} \)

Answer 6

sry typo , multibly by
\(\Huge \frac{1-i \sqrt{3}}{1-i \sqrt{3}}\)

Answer 7

Yes... This multiplying is what is called as rationalisation

Answer 8

or simply subtract the arguments

Answer 9

argument of numerator = -pi/3
argument of denominator = pi/3

so argument of division = -pi/3 - pi/3
= -2pi/3

Answer 10

use the conjugacy technique. as @ganeshie8 said

Answer 11

WOW... Thankz
@ganeshie8