The output of
show((1-cos(x)^2.simplify_trig())
show((cos(x)^2-1).simplify_trig())
is
sin(x)^2
cos(x)^2-1.
Even worse, the result of
(sin(x)^2/(1-cos(x)^2)).simplify().simplify_trig()
is
-(sin(x)^2/(cos(x)^2-1)
when it should be 1. Is there anyway to get sagemath to simplify trigonometric expressions more intelligently?
Works for me (Sagemath 8.7):
sage: (cos(x)^2-1).simplify_trig()
-sin(x)^2
similarly :
sage: (sin(x)^2/(1-cos(x)^2)).simplify().simplify_trig()
1
sage: (sin(x)^2/(1-cos(x)^2)).simplify_trig()
1
Note that:
sage: (cos(x)^2-1).trig_reduce()
1/2*cos(2*x) - 1/2
might be more useful...
What are you using ?
I upgraded to sagemath 8.6 (the latest version with binaries available for my system), and this now works. Thanks for pointing out to use newer versions.
Asked: 2019-03-24 12:55:31 +0100
Seen: 356 times
Last updated: Mar 24 '19
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