Exercise 3.  Represent the following complex numbers in polar form  .  

3 (e).  .  

Solution 3 (e).

See text and/or instructor's solution manual.

Expand    and get      

The modulus of    is  

          

and an argument is  

        .  

Hence, the polar form of    is  ,  i.e.

        

We are done.   

Aside.  We can let Mathematica double check our work.

This solution is complements of the authors.

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