MathDB

There are

2n

complex numbers that satisfy both

z^{28}-z^{8}-1=0

and

|z|=1

. These numbers have the form

z_{m}=\cos\theta_{m}+i\sin\theta_{m}

, where

0\leq\theta_{1}<\theta_{2}< \dots <\theta_{2n}<360

and angles are measured in degrees. Find the value of

\theta_{2}+\theta_{4}+\dots+\theta_{2n}

Problem Statement