Hyperbolic functions/R/Elementary properties/Fact/Proof/Exercise

Prove the following properties of the hyperbolic sine and the hyperbolic cosine

1. $\cosh x+\sinh x=e^x.$

2. $\cosh x-\sinh x=e^{-x}.$

3. $(\cosh x{)}^2-(\sinh x{)}^2=1.$

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