Hyperbolic Cosecant in terms of Cosecant

Theorem

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

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

Also see

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