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calc/help/coth
2017-05-21 15:38:25 -07:00

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NAME
coth - hyperbolic cotangent
SYNOPSIS
coth(x [,eps])
TYPES
x nonzero real
eps nonzero real, defaults to epsilon()
return real
DESCRIPTION
Calculate the coth of x to a multiple of eps with error less in
absolute value than .75 * eps.
coth(x) = (exp(2*x) + 1)/(exp(2*x) - 1)
EXAMPLE
> print coth(1, 1e-5), coth(1, 1e-10), coth(1, 1e-15), coth(1, 1e-20)
1.31304 1.3130352855 1.313035285499331 1.31303528549933130364
LIMITS
unlike sin and cos, x must be real
x != 0
eps > 0
LIBRARY
NUMBER *qcoth(NUMBER *x, NUMBER *eps)
SEE ALSO
sinh, cosh, tanh, sech, csch, epsilon