Q. 205.0( 2 Votes )

Find the modulus of each of the following complex numbers and hence express each of them in polar form:

Answer :





Let


Now, separating real and complex part , we get


……….eq.1


…………eq.2


Squaring and adding eq.1 and eq.2, we get


1 = r2


Since r is always a positive no., therefore,


r = 1,


hence its modulus is 1.


now , dividing eq.2 by eq.1 , we get,



tanθ = 1


Since , and tanθ =1. therefore the θ lies in first quadrant.


Tanθ = 1, therefore


Representing the complex no. in its polar form will be


}


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