Figure 5.7  Vertical segments mapped onto hyperbolas by  [Graphics:Images/ComplexFunTrigMod_gr_163.gif].

Exploration.

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

[Graphics:../Images/ComplexFunTrigMod_gr_164.gif]




[Graphics:../Images/ComplexFunTrigMod_gr_165.gif]

[Graphics:../Images/ComplexFunTrigMod_gr_166.gif]

[Graphics:../Images/ComplexFunTrigMod_gr_167.gif]

[Graphics:../Images/ComplexFunTrigMod_gr_168.gif]

[Graphics:../Images/ComplexFunTrigMod_gr_169.gif]





[Graphics:../Images/ComplexFunTrigMod_gr_171.gif]

[Graphics:../Images/ComplexFunTrigMod_gr_173.gif]
[Graphics:../Images/ComplexFunTrigMod_gr_174.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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