Difference between revisions of "Relationship between coth, inverse Gudermannian, and csc"
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Latest revision as of 07:43, 8 June 2016
Theorem
The following formula holds: $$\mathrm{coth}(\mathrm{gd}^{-1}(x))=\csc(x),$$ where $\mathrm{coth}$ is the hyperbolic cotangent, $\mathrm{gd}^{-1}$ is the inverse Gudermannian, and $\csc$ is the cosecant.
