I n mathematics, Euler's identity [n 1] (also known as Euler's equation ) is the equality {\displaystyle e^{i\pi }+1=0} . where e is Euler's number , the base of natural logarithms , i is the imaginary unit , which by definition satisfies i 2 = −1 , and π is pi , the ratio of the circumference of a circle to its diameter. Euler's identity is named after the Swiss mathematician Leonhard Euler . It is considered to be an exemplar of mathematical beauty as it shows a profound connection between the most fundamental numbers in mathematics. PROOF: We know that, Therefore,e^i(pi)=cos(pi)+isin(pi) Implies,e^i(pi)=-1 Or, e^i(pi)+1=0 ( Proved)