- #1
sara_87
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Homework Statement
let:
f(z)=u(x,y)+iv(x,y)
I want to express the following function like the one above:
[tex]f(z)=cos(z)\equiv=\frac{1}{2}(e^{iz}+e^{-iz})[/tex]
Homework Equations
(i=sqrt(-1))
f(z) is a complex function
The Attempt at a Solution
[tex]f(z)=cos(z)\equiv=\frac{1}{2}(e^{iz}+e^{-iz})[/tex]
[tex]=\frac{1}{2}(e^{i(x+iy)}+e^{-i(x+iy)})=\frac{1}{2}(e^{x-iy}+e^{-xi+y})[/tex]
this is where i stopped because i got stuck. any help please?