[Maxima-bugs] [ maxima-Bugs-2834169 ] Wrong solution with sqrt/asin equation solving

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Bugs item #2834169, was opened at 2009-08-08 15:58
Message generated for change (Tracker Item Submitted) made by jyoberle
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Category: Lisp Core - Solving equations
Group: None
Status: Open
Resolution: None
Priority: 5
Private: No
Submitted By: Jean-Yves (jyoberle)
Assigned to: Nobody/Anonymous (nobody)
Summary: Wrong solution with sqrt/asin equation solving

Initial Comment:
I noticed that when using latest version of Maxima:
solve(1-(asin(x^2-1))^2,x) gives [x=-sqrt(1-sin(1)),x=sqrt(1-sin(1)),x=-sqrt(sin(1)+1),x=sqrt(sin(1)+1)] which is correct.
But:
solve(sqrt(1-(asin(x^2-1))^2),x) gives [] whereas I would have expected same solutions as above.
Below are details about the Maxima version:
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Maxima version: 5.18.1
Maxima build date: 20:57 4/19/2009
host type: i686-pc-mingw32
lisp-implementation-type: GNU Common Lisp (GCL)
lisp-implementation-version: GCL 2.6.8
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Best regards,
Jean-Yves

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You can respond by visiting: 
https://sourceforge.net/tracker/?func=detail&atid=104933&aid=2834169&group_id=4933