# Maximum and minimum value of arg

Sketch on the argand diagram the locus : $|z-2i+3|=\sqrt2$ I already sketched the diagram now I need to find the maximum and minimum value of $\arg(z+6)$

• So far so good. If you take your diagram and add $6$ to every $z$, what happens to the circle? – Matthew Leingang Oct 11 '17 at 9:29

hint...draw tangents to the circle from the point $z=-6$ and calculate the angles...