Exercise 5. Find all values of z for which the following equations hold.
5 (a). .
Solution 5 (a).
See text and/or instructor's solution manual.
Answer. , where n is an integer.
I. Use the relation , and
Using polar coordinates we have and calculate
Thus, , where n is an integer.
II. Start with
Then, , where n is an integer.
III. Use equation
Start with , and compute and , and then
We are done.
Aside. We can let Mathematica double check our work.
to the equation . Where
the image point is ,
and the principal solution value is ,
and some of the points , where n is an integer.
This solution is complements of the authors.
(c) 2008 John H. Mathews, Russell W. Howell