Find the polar form of complex number

 

Asked by Topperlearning User | 25th Apr, 2014, 09:44: AM

Expert Answer:

 
The given complex number can be simplified as
 
 
Now let 
Equating real and imaginary parts, we get,
 
       
Squaring and adding, we get,
             
       
 
Now putting the value of r in equation (1)
            
       
 
Now the value of theta such that  and satisfy both the above equations is given by
Hence,
            
Which is the required polar form.

Answered by  | 25th Apr, 2014, 11:44: AM