Example 5.13.  Calculation reveals that  

            [Graphics:Images/ComplexFunTrigInverseMod_gr_232.gif]  

where n is an integer.

Explore Solution 5.13.

Use the formula in the text to get the solutions.

[Graphics:../Images/ComplexFunTrigInverseMod_gr_233.gif]




[Graphics:../Images/ComplexFunTrigInverseMod_gr_234.gif]

Remark.  The principal value can be found.

[Graphics:../Images/ComplexFunTrigInverseMod_gr_235.gif]




[Graphics:../Images/ComplexFunTrigInverseMod_gr_236.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell