Q. 11

Find the principal argument of

Answer :

As we know that, z = a+ib




= 1+i2+2i√3


= 1-3+2i√3


= -2+2i√3


a = -2 b = 2√3




= |√3|



α<0 , b>1


z lies in second quadrant


arg(z) = θ





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