|
(1) |
From the Euler formula it follows that
|
(2) |
A similar identity holds for the hyperbolic functions,
|
(3) |
See also
Explore with Wolfram|Alpha
References
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 356-357, 1985.Courant, R. and Robbins, H. What Is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 96-100, 1996.Nagell, T. Introduction to Number Theory. New York: Wiley, p. 156, 1951.
Referenced on Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "de Moivre's Identity." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/deMoivresIdentity.html