Question

$(1+i)^{2} / 3+i$modulus and amplitude of

Answer 1

Given z=−2+2

3

i

Hence, ∣z∣=2

1+3

⇒2

4

⇒2×2=4

And let α be the argument of the complex number.

Then

tanα=−

3

Now Re(z)<0 and Im(z)>0

∴ the number lies in the II quadrant

Hence,

α=π−

3

π

=

3

2π