Regions of Complex Plane: problems (1 Viewer)

[vds700]

Could someone please help me with the following questions:

Sketch on an Argand Diagram:

1. -pi < Arg z < pi

2. Arg (z+2) = 3pi/4


Many thanks

 

[Foxodi]

1. -pi < Arg z < pi
-pi < O < pi (O is meant to be theta.. cant spell)
-180 < O < 180
So you draw a (dotted) line heading in 180 degrees, then one heading at -180 degrees, realise that includes the entire diagram, and colour the entire diagram in.

2. O + 2 = 135
Draw a line heading at 135 degrees, starting at x=-2