# Documentation/Calc Functions/TANH

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TANH

Matematisk

## Resume:

Returnerer den hyperbolske tangens af et tal.

TANH(Number)

## Returnerer:

Returnerer den hyperbolske tangens af tallet. Den resulterende værdi er mellem -1 og +1, dvs. [-1,+1].

## Argumenter:

Tallet er det reelle tal eller en reference til en celle, der indeholder det tal, hvis hyperbolske tangens-værdi skal beregnes.

• If Number is non-numeric, then TANH reports a #VÆRDI! error.

## Yderligere oplysninger:

Formlen for den hyperbolic tangens er:

$\displaystyle{ \tanh(x)~=~\frac{\sinh(x)}{\cosh(x)}~=~\frac{e^x-e^{-x}}{e^x+e^{-x}} }$

GIFen herunder illustrerer funktionen TAN.

Funktionen TANH

## Eksempler:

Formel Beskrivelse Returns
=TANH(0) Hyperbolic tangent of 0. 0
=TANH(D1) where cell D1 contains the number -2. Hyperbolic tangent of -2. −0,964027580075817
=ARCTANH(TANH(3)) The hyperbolic tangent of 3 radians is taken and then the inverse hyperbolic tangent of that value is calculated. 3

TANH