Difference between revisions of "Tanh"
From specialfunctionswiki
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$$\mathrm{tanh}(z)=\dfrac{\mathrm{sinh}(z)}{\mathrm{cosh}(z)},$$ | $$\mathrm{tanh}(z)=\dfrac{\mathrm{sinh}(z)}{\mathrm{cosh}(z)},$$ | ||
where $\mathrm{sinh}$ is the [[sinh|hyperbolic sine]] and $\mathrm{cosh}$ is the [[cosh|hyperbolic cosine]]. | where $\mathrm{sinh}$ is the [[sinh|hyperbolic sine]] and $\mathrm{cosh}$ is the [[cosh|hyperbolic cosine]]. | ||
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[[File:Complex Tanh.jpg|500px]] | [[File:Complex Tanh.jpg|500px]] | ||
Revision as of 06:26, 19 January 2015
The hyperbolic tangent is defined by the formula $$\mathrm{tanh}(z)=\dfrac{\mathrm{sinh}(z)}{\mathrm{cosh}(z)},$$ where $\mathrm{sinh}$ is the hyperbolic sine and $\mathrm{cosh}$ is the hyperbolic cosine.
