4 ms·

Here's my favorite explanation of this formula: http://betterexplained.com/articles/intuitive-understanding-of-eulers-formula/ http://betterexplained.com/artic

• a-nikolaev 13y ago
  My favorite: 1) Using Taylor Series, show that exp(ix)=cos(x)+i*sin(x). 2) Then the result is trivial for x=pi This image helps: https://en.wikipedia.org/wiki/File:Euler%27s_formula.svg https://en.wikipedia.org/wiki/File:Euler%27s_formula.svg
  • stephencanon 13y ago
    Taylor series are ugly; do it directly from the definition of the functions as solutions to specific differential equations =).