Hi, sorry to hijack your thread but i have a question for you both
So i was trying to sketch
arg(zz+2i)=65π but give up and went to wolfham alpha to see it, only to find it was a line
usually my method is to pick some values for the argument and find where the lines meet.
An example below;
(note: i will quote angles in degrees rather than radians, just because i cba latexing it, i know its wrong and im sorry :spank
I would do arg(z) = 0 therefore arg(z-2i) = -45, draw the lines and "X" where they cross
arg(z) = 60 therefore arg(z-2i) = 15 and do the same etc until I see the part circle which i can effectively dot to dot
however unless i am being really dumb this method cant be applied to OPs question, so what other (and probably better) method is there for these questions?
thanks, and once again sorry for hijacking OP