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==Theorem==
The following formula holds:
$$\cot(\mathrm{gd}(x))=\mathrm{csch}(x),$$
where $\cot$ is the [[cotangent]], $\mathrm{gd}$ is the [[Gudermannian]], and $\mathrm{csch}$ is the [[csch|hyperbolic cosecant]].

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