Complex locus (1 Viewer)

[Aysce]

Q. Sketch arg(z-i)-arg(z+i) = pi/2How do we do this? Terry lee doesnt explain too well.

 

[kingkong123]

start from i (0,1) and move anti-clockwise to -i (0,-1). b/c it is pi/2 it will be a semi-circle. so u end up with the left side of a circle (it is a semi circle) starting from (0,1) going through (-1,0) and finishing at (0,-1). NOTE: u must put open circles at the start and end points ie i (0,1) and -i (0,-1) b/c you can't have an argument of a single point.

 

[Carrotsticks]

 

[Carrotsticks]

Adding to this, it is utilising the circle geometry theorem:

All angles subtended from the same chord are equal.

 

[kingkong123]

+1 Carrotsticks, ur an asset to this forum mate