--- Peter Kupfer <[EMAIL PROTECTED]> wrote: > Chris BONDE wrote: > > Peter Kupfer wrote: > > > >> Is the arc cosine of # the same as the inverse cosine? I think so, but I > >> want to verify. > >> > > From what I have learned and remember the arc is the same as the > > inverse is the same as the function raised to a minus 1. > > > >> Also, is it inconsistent to say that /=acos()/ finds the arc cosine of a > >> # while /=achosh/ find the inverse hyperbolic cosine of a number? > > > > Remember that hyperbolic functions are based on a hyperbolic whilst the > > regular trig functions are base upon the circle.
Sorry to be replying to an older posting but maybe this Wolfram link would help? http://mathworld.wolfram.com/InverseHyperbolicCosine.html Quoting from above link: " The inverse hyperbolic cosine (Beyer 1987, p. 181; Zwillinger 1995, p. 481), sometimes called the area hyperbolic cosine (Harris and Stocker 1998, p. 264) and sometimes denoted (Abramowitz and Stegun 1972, p. 87; Jeffrey 2000, p. 124), is the multivalued function that is the inverse function of the hyperbolic cosine. The variants and (Harris and Stocker 1998, p. 263) are sometimes used to refer to explicit principal values of the inverse cotangent, although this distinction is not always made. Worse yet, the notation is sometimes used for the principal value, with being used for the multivalued function (Abramowitz and Stegun 1972, p. 87). Note that in the notation , is the hyperbolic cosine and the superscript -1 denotes an inverse function, not the multiplicative inverse. " There are some neat graphs and some more info on the page. Rob Winchester Download OpenOffice today! __________________________________ Do you Yahoo!? Yahoo! Personals - Better first dates. More second dates. http://personals.yahoo.com
