If |z| = 2 and arg (z) = , find z.

Question

Philoid · Accepted Answer

we have, |z| = 2 and arg (z) = ,

Let z = r(cosθ + i sinθ)

We know that, |z| = r = 2

And arg (z) = θ =

Thus, z = r(cosθ + i sinθ) =