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 \(\displaystyle \Re(\exp(\theta i))=\cos(\theta)~\&~\Im(\exp(\theta i))=\sin(\theta)\)