AHSME 1983 Problem 17

Pdfresizer.com-pdf-convert-q17.png The diagram above shows several numbers in the complex plane. The circle is the unit circle centered at the origin. One of these numbers is the reciprocal of $F$. Which one? $\textbf{(A)} \ A \textbf{(B)} \ B \textbf{(C)} \ C \textbf{(D)} \ D \textbf{(E)} \ E$