TOPICS
de Moivre's Identity
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(1)
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From the Euler formula it follows that
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(2)
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A similar identity holds for the hyperbolic functions,
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(3)
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See also
Euler FormulaExplore 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
de Moivre's IdentityCite this as:
Weisstein, Eric W. "de Moivre's Identity." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/deMoivresIdentity.html