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Hyperbolic functions/R/Elementary properties/Fact

From Wikiversity

The functions hyperbolic sine and hyperbolic cosine have the following properties.

${}\cosh x+\sinh x=e^{x}\,.$
${}\cosh x-\sinh x=e^{-x}\,.$
${}(\cosh x)^{2}-(\sinh x)^{2}=1\,.$

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Mathematical fact