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