By: Carl H. Durney and Neil E. Cotter

Complex Analysis

 

 

Basic math

 

 

Magnitude

 

 

Example 1
 
 
 

 

Ex:           Find , (i.e., find the magnitude)
Ans:         2
Sol'n:      The magnitude of a product is the product of the magnitudes:
                       
                  The magnitude of a real number is the absolute value of that real number:
                       
                  The magnitude of ejx for any real x is 1:
                       
                  Thus we have:
                       
                  Putting our results together gives the answer: