What is the conjugate of the complex number #(r,theta)#, in polar form?

1 Answer
Aug 28, 2016

Answer:

In polar coordinates complex conjugate of #(r,theta)# is #(r,-theta)#.

Explanation:

Let #w=x+jy# be represented by #(r,theta)#, then

#x+jy=rcostheta+jrsintheta# or #x=rcostheta# and #y=rsintheta#

As complex conjugate is #w*=x-jy=rcostheta-jrsintheta# or

= #rcos(-theta)+jrsin(-theta)#

Hence, in polar coordinates complex conjugate of #(r,theta)# is #(r,-theta)#.