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

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NAME
acsch - inverse hyperbolic cosecant
SYNOPSIS
acsch(x [,eps])
TYPES
x nonzero real
eps nonzero real, defaults to epsilon()
return real
DESCRIPTION
Returns the acsch of x to a multiple of eps with error less in
absolute value than .75 * eps.
acsch(x) is the real number v for which csch(v) = x. It is given by
acsch(x) = ln((1 + sqrt(1 + x^2))/x)
EXAMPLE
> print acsch(2, 1e-5), acsch(2, 1e-10), acsch(2, 1e-15), acsch(2, 1e-20)
.48121 .4812118251 .481211825059603 .4812118250596034475
LIMITS
none
LIBRARY
NUMBER *qacsch(NUMBER *x, NUMBER *eps)
SEE ALSO
asinh, acosh, atanh, asech, acoth, epsilon