Syntax TANH (x)
Location Hyper, Hyperbola

This function is analogous to the tangent (TAN) - the hyperbolic tangent (TANH) is the hyperbolic sine divided by the hyperbolic cosine:

TANH(x) = SINH(x) / COSH(x)

resulting in the following formula (if SINH and COSH are replaced by their definitions):

TANH(x) = (EXP(x) - EXP(-x)) / (EXP(x) + EXP(-x))


ARTANH is the inverse function of TANH, COTH a complementary function to TANH.