sinh(z)

The sinh function calculates the hyperbolic sine of z. z may be any numeric expression that evaluates to a real number or a complex number.

Hyperbolic sine is defined as: sinh(z) = ½(e^z-e^-z)

cosh(z)

The cosh function calculates the hyperbolic cosine of z. z may be any numeric expression that evaluates to a real number or a complex number.

Hyperbolic cosine is defined as: cosh(z) = ½(e^z+e^-z)

tanh(z)

The tanh function calculates the hyperbolic tangent of z. z may be any numeric expression that evaluates to a real number or a complex number.

Hyperbolic tangent is defined as: tanh(z) = sinh(z)/cosh(z)

asinh(z)

The asinh function calculates the inverse hyperbolic sine of z. z may be any numeric expression that evaluates to a real number or a complex number. asinh is the reverse of sinh, i.e. asinh(sinh(z)) = z.

acosh(z)

The acosh function calculates the inverse hyperbolic cosine of z. z may be any numeric expression that evaluates to a real number or a complex number. acosh is the reverse of cosh, i.e. acosh(cosh(z)) = z.

atanh(z)

The atanh function calculates the inverse hyperbolic tangent of z. z may be any numeric expression that evaluates to a real number or a complex number. atanh is the reverse of tanh, i.e. atanh(tanh(z)) = z.

csch(z)

The csch function calculates the hyperbolic cosecant of z. z may be any numeric expression that evaluates to a real number or a complex number.

Hyperbolic cosecant is defined as: csch(z) = 1/sinh(z) = 2/(e^z-e^-z)

sech(z)

The sech function calculates the hyperbolic secant of z. z may be any numeric expression that evaluates to a real number or a complex number.

Hyperbolic secant is defined as: sech(z) = 1/cosh(z) = 2/(e^z+e^-z)

coth(z)

The coth function calculates the hyperbolic cotangent of z. z may be any numeric expression that evaluates to a real number or a complex number.

Hyperbolic cotangent is defined as: coth(z) = 1/tanh(z) = cosh(z)/sinh(z) = (e^z + e^-z)/(e^z - e^-z)

acsch(z)

The acsch function calculates the inverse hyperbolic cosecant of z. z may be any numeric expression that evaluates to a real number or a complex number. acsch is the reverse of csch, i.e. acsch(csch(z)) = z.

asech(z)

The asech function calculates the inverse hyperbolic secant of z. z may be any numeric expression that evaluates to a real number or a complex number. asech is the reverse of sech, i.e. asech(sech(z)) = z.

acoth(z)

The acoth function calculates the inverse hyperbolic cotangent of z. z may be any numeric expression that evaluates to a real number or a complex number. acoth is the reverse of coth, i.e. acoth(coth(z)) = z. For real numbers acoth is undefined in the interval [-1;1].