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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 François,
I justed tried out what you wrote:
Francois Maltey writes:
>* expand (sin (x+y)) is right, but *
yes.
>* 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)
(23)
(- sin(x)sin(y) + cos(x)cos(y))sin(z) + cos(x)cos(z)sin(y)
+
cos(y)cos(z)sin(x)
Type: Expression Integer
did you expect something else?
>* Am I right when I see it's comming from this src/algebra/manip.spad file ?*
yes.
Martin