On an Argand diagram, the graphs of the relations and intersect.

The maximum possible interval for values of is

The point Z on the Argand diagram above represents the complex number .

The complex number could be represented by the point

If the and Arg are respectively

The square root of is 

Given that , is equal to 

Solutions of are on the unit circle in intervals of 

If and then

If  is any complex number, then  is found by

When factorised over , the solution to =0 is 

Given that , the value of is