Question

Modulus of a complex number Z is 2 and arg(Z)=π/3,write the complex number in the form of a+ib.​

Answer 1

We know about polar form
Modulus of z = r = 2
Arg(z) = 60 degrees
So complex number is
r(cos60+ i sin60)
= 2[1/2 + i sqrt(3)/2]
= 1 + sqrt(3)

Answer 2

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