Difference between revisions of "Relationship between tangent, Gudermannian, and sinh"
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$\tan(\mathrm{gd}(x))=\sinh(x),$$ | $$\tan(\mathrm{gd}(x))=\sinh(x),$$ | ||
| − | where $\tan$ denotes | + | where $\tan$ denotes [[tangent]], $\mathrm{gd}$ denotes the [[Gudermannian]], and $\sinh$ denotes the [[sinh|hyperbolic sine]]. |
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
| + | |||
| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 02:42, 21 December 2016
Theorem
The following formula holds: $$\tan(\mathrm{gd}(x))=\sinh(x),$$ where $\tan$ denotes tangent, $\mathrm{gd}$ denotes the Gudermannian, and $\sinh$ denotes the hyperbolic sine.
