Exercise 14.  Let n be a positive integer.  Show that  

14 (b).  [Graphics:Images/ComplexFunExponentialModHome_gr_432.gif],  which is the same as  [Graphics:Images/ComplexFunExponentialModHome_gr_433.gif].  

Solution 14 (b).

See text and/or instructor's solution manual.

Solution.   Using part 14 (a) we have  [Graphics:../Images/ComplexFunExponentialModHome_gr_434.gif],  and we obtain  

                     [Graphics:../Images/ComplexFunExponentialModHome_gr_435.gif]

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/ComplexFunExponentialModHome_gr_436.gif]

[Graphics:../Images/ComplexFunExponentialModHome_gr_437.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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