Druyd:Knowledge

Funciones Hiperbólicas

Storyboard

>Model

ID:(426, 0)

Hyperbolic Functions

Definition

ID:(508, 0)

Funciones Hiperbólicas

Description

Variables

Symbol

Text

Variable

Value

Units

Calculate

MKS Value

MKS Units

$x$

Equal Variables

$y$

Nullity of Variables

Calculations

Equation

Number

First, select the equation:

, then, select the variable:

Symbol

Equation

Solved

Translated

Calculations

Symbol

Equation

Solved

Translated

Variable

Given

Calculate

Target :

Equation

To be used

Equations

$y=\sinh(x)=\displaystyle\frac{1}{2}(e^x-e^{-x})$

y=\sinh(x)=\displaystyle\frac{1}{2}(e^x-e^{-x})

(ID 3382)

$y=\cosh(x)=\displaystyle\frac{1}{2}(e^x+e^{-x})$

y=\cosh(x)=\displaystyle\frac{1}{2}(e^x+e^{-x})

(ID 3383)

$y=\tanh(x)=\displaystyle\frac{e^x-e^{-x}}{e^x+e^{-x}}$

y=\tanh(x)=\displaystyle\frac{e^x-e^{-x}}{e^x+e^{-x}}

(ID 3384)

$y=\sinh^{-1}(x)=\ln(x+\sqrt{x^2+1})$

y=\sinh^{-1}(x)=\ln(x+\sqrt{x^2+1})

(ID 3385)

$y=\cosh^{-1}(x)=\ln(x+\sqrt{x^2-1})$

y=\cosh^{-1}(x)=\ln(x+\sqrt{x^2-1})

(ID 3386)

$y=\tanh^{-1}(x)=\displaystyle\frac{1}{2}\ln\left(\displaystyle\frac{1+x}{1-x}\right)$

y=\tanh^{-1}(x)=\displaystyle\frac{1}{2}\ln\left(\displaystyle\frac{1+x}{1-x}\right)

(ID 3387)

Examples

Hyperbolic Functions

(ID 508)

ID:(426, 0)