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Article 11 — Appendix A.17csch — hyperbolic cosecant functionCategory. Mathematics. Abstract. Hyperbolic cosecant: definition, graph, properties and identities. References. This article is a part of scientific calculator LiL, scientific calculator LiX, scientific calculator LiLc and scientific calculator LiXc products. 1. DefinitionHyperbolic cosecant is defined as cschx ≡ 2 /(e^{x} − e^{−x})2. GraphHyperbolic cosecant is antisymmetric function defined everywhere on real axis, except its singular point 0 — so, its domain is (−∞, 0)∪(0, +∞). Function graph is depicted below — fig. 1. Fig. 1. Graph of the hyperbolic cosecant function y = cschx.Function codomain is entire real axis, except 0: (−∞, 0)∪(0, +∞). 3. IdentitiesBase: coth^{2}x − csch^{2}x = 1By definition: cschx ≡ 1 /sinhxProperty of antisymmetry: csch−x = −cschx4. SupportHyperbolic cosecant function csch is supported in: Hyperbolic cosecant function of the complex argument csch is supported in:
5. How to useTo calculate hyperbolic cosecant of the number:
To calculate hyperbolic cosecant of the current result:
To calculate hyperbolic cosecant of the number x in memory:



