Evaluate:

(i) i19


(ii) i62


(ii) i373.


We all know that i = √(-1) .


and = 1


= i (where n is any positive integer )


=


= -1


So,


(i) L.H.S =


=


=


Since it is of the form


Hence the value of .


(ii)




so its solution would be -1


(iii)




i


So, it is of the form of so the solution would be i.


1