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34 lines
706 B
Plaintext
34 lines
706 B
Plaintext
NAME
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acoth - inverse hyperbolic cotangent
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SYNOPSIS
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acoth(x [,eps])
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TYPES
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x real, with abs(x) > 1
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eps nonzero real, defaults to epsilon()
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return real
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DESCRIPTION
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Returns the acoth of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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acoth(x) = ln((x + 1)/(x - 1))/2 is the real number v for which
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coth(v) = x.
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EXAMPLE
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> print acoth(2, 1e-5), acoth(2, 1e-10), acoth(2, 1e-15), acoth(2, 1e-20)
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.54931 .5493061443 .549306144334055 .5493061443340548457
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LIMITS
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unlike sin and cos, x must be real
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abs(x) > 1
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eps > 0
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LIBRARY
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NUMBER *qacoth(NUMBER *x, NUMBER *eps)
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SEE ALSO
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asinh, acosh, atanh, asech, acsch, epsilon
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