Comments (3)
luciansmith
commented on August 19, 2024
It took me a while to track down an independent source to confirm or deny this, but I finally found:
http://www.1728.org/trigcalc.htm
which confirms that the arccotangent of -0.1 is -1.4711 radians (or -84.289 degrees).
However, I also found graphs, such as the one at
http://en.wikipedia.org/wiki/File:Arctangent\_Arccotangent.svg
(from http://en.wikipedia.org/wiki/Arccotangent )
that seem to indicate that the arccotangent of everything is positive. Also, if you use one of the identities on the page:
arccot(x) = pi/2 - arctan(x)
and calculate that out, you also get 1.670.
So, in conclusion... what?
Original comment by: luciansmith
from sbml-test-suite.
luciansmith
commented on August 19, 2024
OK! I found the answer!
http://sbml.org/Forums/index.php?t=msg&th=504&rid=0
"The MathML standard states that the definitive answer is to be found in
Abaramowitz and Stegun, section 4.4, where I find definitions which
agree with mathword.wolfram.com and not with the CRC tables."
In other words, arccot should range:
-pi/2 < Acot(x) <= 0 (for x<-1)
This is confirmed in the mathml spec:
http://www.w3.org/TR/MathML2/appendixc.html\#cedef.arccot
Original comment by: luciansmith
from sbml-test-suite.
luciansmith
commented on August 19, 2024
- status: open --> closed
Original comment by: luciansmith
from sbml-test-suite.
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