Show that the following equations represent a circle, and find its centre and radius \(\left| z-2-i \right| =3\)

Write in polar form of the following complex numbers
\(2+i2\sqrt { 3 } \)

Simplify the following
\({ i }^{ 59 }+\frac { 1 }{ { i }^{ 59 } } \)

If z = x + iy , find the following in rectangular form.
Im(3z + 4\(\bar { z } \) − 4i)

Simplify the following:
i i²i³...i⁴⁰