Puzzle 112 – Alphanumeric

This is a Thursday alphanumeric puzzle. Replace every letter in the set {C,O,S,I,N,E,X} with a digit from 0-9 to make the following expression true. Words with multiple letters represent multi-digit numbers, and cannot start with a 0. Asterisks and parentheses both represent multiplication.

E^(I*X)=COS(X)+I*SIN(X)

Note that this keeps in the “pi” related theme, if you know math enough to recognize Euler’s identity (which is a special case of this, which is Euler’s formula.) I was extremely happy when I discovered that this has a unique solution!