Homework Statement
Let z1; z2; z3; z4 be four complex numbers on the unit circle (i.e., |z1|=|z2|=|z3|=|z4|=1).
It is known that z1+z2+z3+z4=1+i . Find the value of
1/z1
+
1/z2
+
1/z3
+
1/z4
Homework Equations
1/z = barZ/|z|^2
The Attempt at a Solution
I've been trying for about a day now...