On 1/24/12 11:11 AM, William Stein wrote:
Intriguingly, you can simply full_simplify *again* to get what you want:
Probably because full_simplify just runs a bunch of simplification
commands in order. My guess is that if you run them in a different
order, you'd get the simplification you want.
Thanks,
Jason
sage: var('u,v')
(u, v)
sage: r = vector([u*cos(v), u*sin(v), v])
sage: ru = diff(r,u)
sage: rv = diff(r,v)
sage: n = ru.cross_product(rv)
sage: n
(sin(v), -cos(v), u*sin(v)^2 + u*cos(v)^2)
sage: norm(n)
sqrt(abs(u*sin(v)^2 + u*cos(v)^2)^2 + abs(-cos(v))^2 + abs(sin(v))^2)
sage: f = norm(n).full_simplify()
sage: f
sqrt(u^2 + sin(v)^2 + cos(v)^2)
sage: f.full_simplify()
sqrt(u^2 + 1)
On Tue, Jan 24, 2012 at 9:01 AM, Juan Carlos Bustamante
<[email protected] <mailto:[email protected]>> wrote:
Hi all,
I'm trying to make some camputations to show to my students, but
SAGE won't simplify sin^2 + cos^2 = 1.
What am I doing wrong?
Sage-trig.png
Regards,
JC
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William Stein
Professor of Mathematics
University of Washington
http://wstein.org
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