Figure 5.8  Vertical segments mapped onto circular arcs by  [Graphics:Images/ComplexFunTrigMod_gr_231.gif].

Exploration.

Enter the formula f[z] = Tan[z] and graph the transformation.

[Graphics:../Images/ComplexFunTrigMod_gr_232.gif]







[Graphics:../Images/ComplexFunTrigMod_gr_234.gif]

[Graphics:../Images/ComplexFunTrigMod_gr_236.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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