------- Original Message -------
On Wednesday, July 19th, 2023 at 4:46 PM, Ralf Hemmecke <[email protected]> 
wrote:

> Ah, you want to challenge me. ;-) No, honestly, I am grateful that you
> pose such questions.

No, I don't want to challenge anybody. I just want to know how to get in FriCAS 
what I want. I think it will be easier to achieve it with an example.

> (323) -> eq := c^2 = a^2 + b^2 -(2ab)*cos(gamma)

The reason why I enclosed 2ab in brackets is to visually separate it from 
cosine. Otherwise one could think there are six variables: a, b, c, o, s, and 
γ. That's not what I want FriCAS to distribute.
 
> (324) -> map(x +-> subst(x,[a=(l+k)/2, b=(l-k)/2]), eq)

I don't think that I fully understand this command but at least the result is 
okay.

> Is that what you want?
> 
> Ralf

That's just a preliminary step. Now we get to the point. How to distribute 
cos(γ) over (k²-l²) and then factor out k² and l² to derive 
k²(1+cos(γ))+l²(1-cos(γ))?

Thank you in advance.

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