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Re: [Axiom-developer] how to expand trig functions ?

From: Martin Rubey
Subject: Re: [Axiom-developer] how to expand trig functions ?
Date: Wed, 22 Jun 2005 15:13:10 +0200

Dear Fran├žois,

I justed tried out what you wrote:

Francois Maltey writes:
 > expand (sin (x+y)) is right, but 


 > 1/ I can't get expand (sin (2*x)) 

well, the documentation says that expand deals only with sums...
I guess that you would like to have expand sin(n*x) use the chebyshev
polynomials? I think that this would be reasonable.

 > 2/ The result of expand (sin (x+y+z)) doesn't seem complete. 
 >    axiom only apply twice the expanded sin (a+b) and cos (a+b).
 >    I prefer the maple and mupad method. The formula is completly expanded.

It is complete in my axiom:

(23) -> expand sin (x+y+z)

     (- sin(x)sin(y) + cos(x)cos(y))sin(z) + cos(x)cos(z)sin(y)
                                                     Type: Expression Integer
did you expect something else?

 > Am I right when I see it's comming from this src/algebra/manip.spad file ?



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