1. The problem statement, all variables and given/known data Given that a complex number, [tex]w[/tex], is such that [tex]\pi / 2< arg(z) < \pi[/tex], Sketch the locus described by [tex] arg(z+w^*)=arg(-iw)[/tex] 2. Relevant equations 3. The attempt at a solution Okay, so I attempted this question and got completely confused. I am thinking that the answer is to shade the first and fourth quadrant completely, that's an intuition (although there can be an explanation for this intuition, but I have no idea how to sketch it out online, sorry). But generally, how should I go about attempting this question? Over here, [tex]w[/tex] is defined by a range instead of any distinct line, thus I am getting the problem of carrying this definition over to my solution of the problem.