`arg(z/barz)=arg(z)-arg(barz)=2 arg(z)`

arg(bar(z))=-arg(z)

arg((1)/(bar(z)))=arg((zbar(z))/(bar(z)))

The value of sqrt({arg(z)+arg(-bar(z))-2 pi}{arg(-z)+arg(bar(z))})AA z=x+iy,x,y>0 is

If z, z_1 and z_2 are complex numbers, prove that (i) arg (barz) = - argz (ii) arg (z_1 z_2) = arg (z_1) + arg (z_2)

arg(z_(1)z_(2))=arg(z_(1))+arg(z_(2))

arg(bar(z))+arg(-z)={{:(pi",","if arg (z) "lt 0),(-pi",", "if arg (z) "gt 0):},"where" -pi lt arg(z) le pi . If arg(z) gt 0 , then arg (-z)-arg(z) is equal to

arg((z_(1))/(z_(2)))=arg(z_(1))-arg(z_(2))

arg(bar(z))+arg(-z)={{:(pi",","if arg (z) "lt 0),(-pi",", "if arg (z) "gt 0):},"where" -pi lt arg(z) le pi . If arga(4z_(1))-arg(5z_(2))=pi, " then " abs(z_(1)/z_(2)) is equal to