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CBSE Class 11-science Answered

Convert the complex number  in to polar form.  
Asked by Topperlearning User | 25 Apr, 2014, 09:52: AM
answered-by-expert Expert Answer

We can simplify the given complex number in  form as follows:

      
          Let,
Equating real and imaginary parts of both sides, we get,
         
Squaring and adding, we get,
         
Hence, putting the value of r in equation (1) and (2), we get,
         
Now the value of theta such that  and satisfy the above equation is given by
Hence,        
Which is the required polar form.
Answered by | 25 Apr, 2014, 11:52: AM
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