sinh(): Hyperbolic Sine

sinh() calculates the hyperbolic sine, defined from exponentials rather than circular angles. It appears in catenary curves, differential equations, and hyperbolic geometry.

Exponential relation

sinh(x) = (exp(x) − exp(−x))/2, connecting it to exp(). It accepts all real values and is odd: sinh(-x) equals -sinh(x). Reverse it with asinh().

Do not confuse sinh with sin(). For large magnitudes, exponential growth can overflow; use a scaled formulation or log()-space reasoning where appropriate.