Difference between revisions of "Doubling identity for sinh (2)"
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Latest revision as of 22:53, 21 October 2017
Theorem
The following formula holds: $$\sinh(2z)=\dfrac{2\tanh(z)}{1-\tanh^2(z)},$$ where $\sinh$ denotes hyperbolic sine and $\tanh$ denotes hyperbolic tangent.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.5.31$