Processing math: 100%
 
+0  
 
0
30
1
avatar+50 

How do I find a, b, c, d, f, and g so that they satisfy the following equations?

 

eπi/2=a+bi,e2πi/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!

 Mar 2, 2024
 #1
avatar+199 
0

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!

 Mar 5, 2024

0 Online Users