How do I find a, b, c, d, f, and g so that they satisfy the following equations?
eπi/2=a+bi,e−2πi/3=c+di,e9πi/4=f+gi.
I have no idea how to get started. Can someone provide an explanation of the steps? Thank you!
Here are the answers to your question:
e^(pi*i/2) = 1/2 + 1/2*i.
e^(-2*pi*i/3) = 1/sqrt(2) - 1/sqrt(3)*i
e^(9*pi*i/4) = 1/3 + sqrt(2)/4*i
Hope this helps!