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Hyperbolic Functions
The grapher has a built-in set of hyperbolic functions specified in the list below.
| function | name | examples |
|---|---|---|
| sinh | hyperbolic sine | sinh(x), sinh(2*x), sinh(1/x), sinh(x)*cos(x), sin(x)*sinh(x) |
| cosh | hyperbolic cosine | cosh(x), cosh(2*x), sin(x)*cosh(x), cos(x)*cosh(x) |
| tanh, tgh | hyperbolic tangent | tanh(x), tanh(2*x), tanh(x/(2*pi)) |
| coth, ctgh | hyperbolic cotangent | coth(x), coth(2*x), coth(x/(2*pi)) |
| sech | hyperbolic secant | sech(x), sech(2*x), sech(x^2/pi) |
| csch | hyperbolic cosecant | csch(x), csch(x^2/pi), csch(2*x)*csc(2*x) |
Inverse Hyperbolic Functions
For all the hyperbolic functions in the table above the function grapher includes their inverses. The list and uses are specified the the table below.
| function | name | examples |
|---|---|---|
| asinh, arcsinh | inverse hyperbolic sine | asinh(x) |
| acosh, arccosh | inverse hyperbolic cosine | acosh(x) |
| atanh, atgh, arctgh, arctanh | inverse hyperbolic tangent | atanh(x) |
| acoth, actgh, arccoth, arctgh | inverse hyperbolic cotangent | acoth(x) |
| asech, arcsech | inverse hyperbolic secant | asech(x) |
| acsch, arccsch | inverse hyperbolic cosecant | acsch(x) |
More information about hyperbolic functions
