Difference of Squares of Hyperbolic Cotangent and Cosecant

Theorem

 * $\coth^2 x - \operatorname{csch}^2 x = 1$

where $\coth$ and $\operatorname{csch}$ are hyperbolic cotangent and hyperbolic cosecant.

Also defined as
This result can also be reported as:
 * $\operatorname{csch}^2 x = \coth^2 x - 1$

or:
 * $\coth^2 x = 1 + \operatorname{csch}^2 x$

Also see

 * Sum of Squares of Hyperbolic Secant and Tangent