#### Posers and Puzzles

Your Blackened Sky

- Joined
- 12 Mar '02
- Moves
- 15128

alrighty-what does e^(pi*i) equal, and why?

- Joined
- 12 Mar '03
- Moves
- 36668

*Originally posted by genius*

**alrighty-what does e^(pi*i) equal, and why?**

The definition of e^(ix) = cos(x) + i*sin(x)

applied for x=pi:

e^(i*pi) = cos(pi) + i*sin(pi) = -1 + 0 = -1

- Joined
- 08 Dec '03
- Moves
- 3140

A formula that includes the five most important values in mathematics:

e^(i*pi) + 1 = 0

-Ray.