Exercise 3.  Show that Equation (5-38)  [Graphics:Images/ComplexFunTrigModHome_gr_36.gif]  

simplifies to Equation (5-39)  [Graphics:Images/ComplexFunTrigModHome_gr_37.gif].    

Hint.  Use the facts that   [Graphics:Images/ComplexFunTrigModHome_gr_38.gif]   and   [Graphics:Images/ComplexFunTrigModHome_gr_39.gif]   and   [Graphics:Images/ComplexFunTrigModHome_gr_40.gif]

Solution 3.

See text and/or instructor's solution manual.

Solution.  

                    [Graphics:../Images/ComplexFunTrigModHome_gr_41.gif]  
                    
                    [Graphics:../Images/ComplexFunTrigModHome_gr_42.gif]  

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/ComplexFunTrigModHome_gr_43.gif]

[Graphics:../Images/ComplexFunTrigModHome_gr_44.gif]


















This solution is complements of the authors.

 



































 

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