Find the polar form of complex number

 

Asked by Topperlearning User | 11th Aug, 2014, 10:03: AM

Expert Answer:

 

           
Now, Let, 
Equating real and imaginary parts, we get,
   
 
Squaring and adding, we get
     1 plus 1 equals r squared cos space squared space theta space plus space r squared space sin to the power of space 2 end exponent space theta
 
Now putting the value of  r in equations (1)
    
 
Now the value of theta such that  and satisfying both above equations is given by
Hence,
            
 
Which is the required polar form.

Answered by  | 11th Aug, 2014, 12:03: PM