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Because it comes from measurements made on a Hyperbola: So, just like the trigonometric functions relate to a circle, the hyperbolic functions relate to a hyperbola. Identities sinh (−x) = −sinh (x) cosh (−x) = cosh (x) And tanh (−x) =

Hyperbola in math is an essential conic section formed by the intersection of the double cone with a plane surface, but not significantly at the center. A hyperbola is symmetric

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