File:E-to-the-i-pi.svg

Summary
Image made by myself in

Relation to Euler's formula
This mathematical term forms part of an identity, a special case of Euler's formula, written $$e^{ix}=\cos(x)+i\sin(x)$$. Setting $$x$$ to a value of $$\pi$$, as with the above term, Euler's formula reduces to a famous equation relating five important mathematical numbers, namely $$e^{i\pi}+1=0$$.