Convert the following complex number in polar form and represent it in Argand Plane:

 

Asked by Topperlearning User | 25th Apr, 2014, 09:48: AM

Expert Answer:

Let

           Equating real and imaginary parts of both sides, we get,
                    
          Squaring and adding these two equations, we get,
                  
Now putting the value of r in equation (1) and (2), we get
                    and
                     and 
Now the value of theta such that  and satisfying both the above equation is given by
Hence, 
Which is the required polar form.

Answered by  | 25th Apr, 2014, 11:48: AM