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kishore.subramanian.b (194)

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Olaaa!! Perrrfect answer. 34  [46 rates]

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10
(sin 2k/11+i cos2k/11)=i(cos 2k/11-isin2k/11)  ........(1)
k=1
let  z=(cos 2/11- isin 2/11)    i.e k=1
     z2=(cos 4/11- isin 4/11) =(cos 2/11- isin 2/11)2  k=2
    
        hence  (1) becomes
                                        =i(z+z2+z3+......+z10)
                                        =i.z(z10-1)/(z-1)
                                        =i(z11-z)/(z-1)
          z11=1   hence          =i(1-z)/(z-1)
                                        =i(-1)
                                        = -i
 
 
 
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