Hyperbolic               package:base               R Documentation

Hyperbolic Functions

Description:

     These functions give the obvious hyperbolic functions.  They
     respectively compute the hyperbolic cosine, sine, tangent, and
     their inverses, arc-cosine, arc-sine, arc-tangent (or '_area
     cosine_', etc).

Usage:

     cosh(x)
     sinh(x)
     tanh(x)
     acosh(x)
     asinh(x)
     atanh(x)

Arguments:

       x: a numeric or complex vector

Details:

     These are generic functions: methods can be defined for them
     individually or via the 'Math' group generic.

     Branch cuts are consistent with the inverse trigonometric
     functions 'asin()' et seq, and agree with those defined in
     Abramowitz and Stegun, figure 4.7, page 86.

S4 methods:

     All are S4 generic functions: methods can be defined for them
     individually or via the 'Math' group generic.

References:

     Abramowitz, M. and Stegun, I. A. (1972) _Handbook of Mathematical
     Functions._ New York: Dover.
      Chapter 4. Elementary Transcendental Functions: Logarithmic,
     Exponential, Circular and Hyperbolic Functions

See Also:

     The trigonometric functions, 'cos', 'sin', 'tan', and their
     inverses 'acos', 'asin', 'atan'.

     The logistic distribution function 'plogis' is a shifted version
     of 'tanh()' for numeric 'x'.

