Cosecant in terms of Hyperbolic Cosecant

Theorem

 * $\operatorname{csch} \left({ix}\right) = -i \csc x $

where $\csc$ is the cosecant function, $\operatorname{csch}$ is the hyperbolic cosecant, and $i^2=-1$.

Also see

 * Hyperbolic Sine of Imaginary Number
 * Hyperbolic Cosine of Imaginary Number
 * Hyperbolic Tangent of Imaginary Number
 * Hyperbolic Cotangent of Imaginary Number
 * Hyperbolic Secant of Imaginary Number