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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

27.0. "Finding ASIN in terms of ATAN" by HARE::STAN () Sat Feb 04 1984 15:30

Newsgroups: net.math
Path: decwrl!decvax!harpo!eagle!mhuxl!houxm!ihnp4!we13!mgweed!rjr
Subject: need help
Posted: Tue Jan 31 09:21:53 1984

Perhaps some math whiz can help me out with a problem.
I have a computer program that gives me an answer that is
the sin of x. How can I get the value of x without an
arc-sin function? My computer just has sin, cos, tan
and arc-tan. (I also have the formula ACS(x)=-ATN(x/sqr(-x*x+1))+pi/2
which gives me the arc-cosine function).

Tnx  Bob
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27.1HARE::STANSat Feb 04 1984 15:361
ASIN(x) = pi/2 - ACOS(x) .
27.2RANI::LEICHTERJMon Feb 06 1984 04:484
Another way to do it, ignoring ATAN altogether, is to do a Newton-Raphson
approximation using SIN() - easy since SIN'=COS and COS(x) = SIN(90-X).
I described this in more detail in a response on Usenet.
						-- Jerry