There are six hyperbolic trigonometric functions: sinh ⁡ x = e x − e − x 2. \sinh x = \dfrac {e^x - e^ {-x}} {2} sinhx = 2ex − e−x. . cosh ⁡ x = e x + e − x 2. \cosh x =\dfrac {e^x + e^ {-x}} {2} coshx = 2ex + e−x. . tanh ⁡ x = sinh ⁡ x cosh ⁡ x. \tanh x = \dfrac {\sinh x} {\cosh x} tanhx = coshxsinhx.