Difference between revisions of "Difference of cosh and sinh"

From specialfunctionswiki
Jump to: navigation, search
 
Line 8: Line 8:
 
==References==
 
==References==
 
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Sum of cosh and sinh|next=Sinh is odd}}: $4.5.20$
 
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Sum of cosh and sinh|next=Sinh is odd}}: $4.5.20$
 +
 +
[[Category:Theorem]]
 +
[[Category:Unproven]]

Latest revision as of 22:33, 21 October 2017

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