How do I find a, b, c, d, f, and g so that they satisfy the following equations?
\(\begin{align*} e^{\pi i/2} &= a +bi, \\ e^{-2\pi i/3} &= c+di, \\ e^{9\pi i/4} &= f + gi. \end{align*}\)
I have no idea how to get started. Can someone provide an explanation of the steps? Thank you!