Show that the folowing complex numbers have the same argument.
a. z1 = 3 + 3√3i and z2 = 1 + √3i
b. z1 = 1 + i and z2 = 4 + 4i

Answer and explanation

(a) We have given that

And

We have to prove that both complex number has same argument

Argument is given by

Argument of

Argument of

Hence both have same argument

(b) We have given  We have given that

And

We have to prove that both complex number has same argument

Argument is given by

Argument of

Argument of

Hence both have same argument

(-5,-28)

i graphed to on desmos.