Question

Use a computer to plot graphs of sinh(x), cosh(x), and tanh(x).

Short answer

The Graph of cosh(x) is shown below.

The Graph of is shown below.

The Graph of is shown below.

Step-by-step solution

Given Information.

The given expression is $\cos h\left(x\right),\sin h\left(x\right),\tan h\left(x\right)$.

Definition of Complex Number and Hyperbolic functions.

The domain of a function refers to the range of values that can be plugged into it. This is the set of x values in a function like $\mathit{f}\left(x\right)$. The range of a function is the set of values that the function can take. This is the set of values that the function produces when we enterx value. The values are what you're looking for.

The basic hyperbolic functions are:

1. Hyperbolic sine(sinh)
2. Hyperbolic cosine(cosh)
3. Hyperbolic tangent(tanh)

Plot the graph of cosh(x),sinh(x),tanh(x).

$cosh\left(x\right)=\frac{e^x+e^{-x}}{2}$

The Graph of cosh(x) is shown below.

$sinh\left(x\right)=\frac{e^x-e^{-x}-x}{2}$

The Graph of$\sin h\left(x\right)$is shown below.

$tanh\left(x\right)=\frac{e^x-e^{-x}}{e^x+e^{-x}}$

The Graph of$\sin h\left(x\right)$is shown below.