Prove that e^(iθ) = cos θ + i sin θ

[eljota38]

Can anyone prove me this stament please.

 

[gnrlies00]

the proof to Euler's formula

e^iθ=cosθ+isinθ

is using taylor series for the exponential function

For any complex number z, we define e^z by

e^z=$\sum$$\frac{z^n}{n!}$.

 

[eljota38]

thanks a lot I think you were a great help

 

[micromass]

Please read this: https://www.physicsforums.com/blog.php?b=3588