Convert the following in the polar form:


We have,


Now, by multiplying numerator and denominator by 1 + 2i we get:


=


=


=


= - 1 + i


Let us assume and


Now by squaring and adding the given values, we get:



We know that,


r2 = 2



As conventionally r > 0, thus


Also,


As lies in the 2nd quadrant



Hence,


=


=


This is the required polar form of the given equation


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