Difference between revisions of "Relationship between tan and tanh"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\tan(z)=-i\tanh(iz),$$ wher...") |
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$\tan(z)=-i\tanh(iz),$$ | $$\tan(z)=-i\tanh(iz),$$ | ||
where $\tan$ is the [[tangent]] and $\tanh$ is the [[tanh|hyperbolic tangent]]. | where $\tan$ is the [[tangent]] and $\tanh$ is the [[tanh|hyperbolic tangent]]. | ||
| − | + | ||
| − | + | ==Proof== | |
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| − | + | ==References== | |
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 07:36, 8 June 2016
Theorem
The following formula holds: $$\tan(z)=-i\tanh(iz),$$ where $\tan$ is the tangent and $\tanh$ is the hyperbolic tangent.
