Wednesday, March 21, 2018

complex numbers - Why is $cos(i)-i sin(i)=e$?

When I was typing $\cos(i)-i \sin(i)$ into the calculator, I found out that it is equal to e (Euler's Constant). I was amazed by that "discovery" so I checked in on the internet and there was no results. Someone please explain the connection of imaginary numbers and Euler's Constant.

No comments:

Post a Comment

analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...