Exercise 10.  Show that   [Graphics:Images/ComplexFunExponentialModHome_gr_343.gif]    iff    [Graphics:Images/ComplexFunExponentialModHome_gr_344.gif].   

Solution 10.

See text and/or instructor's solution manual.

Solution.   [Graphics:../Images/ComplexFunExponentialModHome_gr_345.gif].

Taking the modulus we have  [Graphics:../Images/ComplexFunExponentialModHome_gr_346.gif].   Then

[Graphics:../Images/ComplexFunExponentialModHome_gr_347.gif]    iff    [Graphics:../Images/ComplexFunExponentialModHome_gr_348.gif]    iff    [Graphics:../Images/ComplexFunExponentialModHome_gr_349.gif]    iff    [Graphics:../Images/ComplexFunExponentialModHome_gr_350.gif]   iff    [Graphics:../Images/ComplexFunExponentialModHome_gr_351.gif]    iff     [Graphics:../Images/ComplexFunExponentialModHome_gr_352.gif].    

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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