Exercise 2.  Find all values of  

2 (a).  .

Solution 2 (a).

See text and/or instructor's solution manual.

Answer.   ,  where  n  is an integer.  

Solution.   Use  ,  where  .   Calculation reveals  

                      

where  n  is an integer.  

We are done.   

Aside.   To emphasize that there are an infinite number of solutions we will list those for    

                    

These values spread out along the positive x-axis forming a sequence of powers .

We are really done.   

Aside.  We can let Mathematica double check our work.

We are really done.   

Aside.   The principal value is  .  

This solution is complements of the authors.

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