Question

if z is a complex number, show that z- z bar/2i is real​

Answer 1

Solution:

Suppose, your complex number z is A + Bi, so z bar is equal to A - Bi. Now, if you take Z - Z bar you will have 2Bi left.

Also, we know that 1/i = -i, so when we divide 2Bi by 2i, it will be 2Bi * (-2i), and finally it will be converted into i^2 which is 1.

So, you will get 4B as answer. Which is real