Example 1.7.  If  [Graphics:Images/ComplexGeometryContinuedMod_gr_13.gif],  then  [Graphics:Images/ComplexGeometryContinuedMod_gr_14.gif]  and  [Graphics:Images/ComplexGeometryContinuedMod_gr_15.gif]  is a polar representation of z.  The polar coordinates in this case are [Graphics:Images/ComplexGeometryContinuedMod_gr_16.gif], and [Graphics:Images/ComplexGeometryContinuedMod_gr_17.gif].  

Explore Solution 1.7.

[Graphics:../Images/ComplexGeometryContinuedMod_gr_18.gif]

 

 

 

[Graphics:../Images/ComplexGeometryContinuedMod_gr_19.gif]

[Graphics:../Images/ComplexGeometryContinuedMod_gr_20.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell