Maple worksheets on hyperbolic functions |

More calculus topics:

- Infinite Series
- Hyperbolic Functions
- Multi-variable calculus
- The Lambert W function

The following Maple worksheets can be downloaded.

They are all compatible with

Classic Worksheet Maple 10.

Hyperbolic functions- hyperbolic.mws

- Definition of the hyperbolic sine and cosine functions.
- Two points on the graph of sinh and cosh.
- The hyperbolic functions: tanh, sech, cosech, coth and their graphs.
- Some identities involving hyperbolic functions.
- Geometrical interpretation of the identity: cosh(x)^2-sinh(x)^2=1.
- The derivatives of the hyperbolic functions.

Inverse hyperbolic functions- invhyp.mws

- The functions arcsinh, arccosh, arctanh, arcsech, arccsch, arccoth.
- Expressing the inverse hyperbolic functions in terms of the natural logarithm function.
- The derivatives of the inverse hyperbolic functions.

Integrals involving inverse hyperbolic functions- hypint.mws

- An integral involving arcsinh.
- An integral involving arccosh.
- An integral involving arcsech.
- An integral involving arccsch.
- Some other integrals involving inverse hyperbolic functions.

The curve formed by a uniform hanging chain- catenary.mws

- The derivation of the equation of the curve formed by a uniform hanging chain or cable.
- Comparison of catenary with parabola

Hyperbolic sectors and arcs- hypsect.mws

- The area of a hyperbolic sector.
- Arc length along a parametric curve (including a rectangular hyperbola).