Difference of cosh and sinh
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Theorem
The following formula holds: $$\cosh(z) - \sinh(z) = e^{-z},$$ where $\cosh$ denotes hyperbolic cosine, $\sinh$ denotes hyperbolic sine, and $e^{-z}$ denotes the exponential.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.5.20$