Complex Numbers


   
 
Exponential form of a Complex number
If z = x + iy
 
 
 
 
We have,
 
 
 
 
 
 
Some important results
 
 
Proof:
 
 
Replacing q by ix,
 
 
 
 
 
 
Proof:
 
We have,
 
 
Replacing q by ix,
 
 
 
 
 
 
 
Proof:
 
 
 
 
 
Similarly,
 
 
 
 
Proof:
 
 
 
 
Similarly,
 
 
 
  
     
   
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