Exercise 4.  Express  [Graphics:Images/ComplexFunExponentialModHome_gr_61.gif]  in the form  [Graphics:Images/ComplexFunExponentialModHome_gr_62.gif]  for the following values of  z.  

4 (e).  [Graphics:Images/ComplexFunExponentialModHome_gr_110.gif].

Solution 4 (e).

See text and/or instructor's solution manual.

Answer.   [Graphics:../Images/ComplexFunExponentialModHome_gr_111.gif].

Solution.    

                    [Graphics:../Images/ComplexFunExponentialModHome_gr_112.gif]  

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/ComplexFunExponentialModHome_gr_113.gif]

[Graphics:../Images/ComplexFunExponentialModHome_gr_114.gif]

                    [Graphics:../Images/ComplexFunExponentialModHome_gr_115.gif]          [Graphics:../Images/ComplexFunExponentialModHome_gr_116.gif]

                                             The point  [Graphics:../Images/ComplexFunExponentialModHome_gr_117.gif]  and it's image  [Graphics:../Images/ComplexFunExponentialModHome_gr_118.gif].   

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors. 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2008 John H. Mathews, Russell W. Howell