Exercise 3.  Find all the values of z for which each equation holds.  

3 (c).  .

Solution 3 (c).

See text and/or instructor's solution manual.

Answer.   ,  where n is an integer.

Solution.   ,  then set  ,   and

use formula (5-12)  .  

Calculate    and  ,   where  .     

Then we have   .  

We are done.   

Aside.  We can let Mathematica double check our work.

                                        Some of the values      which solve the equation   .  
                                        This mapping is given by the function  .

This solution is complements of the authors.

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