The Wave Equation/Real and Imaginary parts of a complex number

[Gecks429]

I have no idea how to deal with the real and imaginary components of this eq.
Any help would be appreciated, thanks!

 

[LCKurtz]

Do you know the equation [MATH]e^{i\theta} = \cos\theta + i\sin\theta[/MATH]? Can you see the real and imaginary part?

 

[pka]

I have no idea how to deal with the real and imaginary components of this eq.
Any help would be appreciated, thanks!
View attachment 13775

Do you understand that $\displaystyle \exp(\theta i)=\cos(\theta)+i\sin(\theta)~?$
If so, then $\displaystyle \Re(\exp(\theta i))=\cos(\theta)~\&~\Im(\exp(\theta i))=\sin(\theta)$