| Hyperbolic {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 internal generic primitive 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 & Stegun, figure 4.7, page 86.
The behaviour actually on the cuts
follows the C99 standard which requires continuity coming round the
endpoint in a counter-clockwise direction.
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.