[Edu-sig] Pythonic Alg 2, Trig/Func

[kirby urner]

On 6/13/06, kirby urner <kirby.urner at gmail.com> wrote:
> If you had a Rational class handy, you could carry out a series
> expansion for sine and cosine to get fully rational results, e.g.:
>
> sine (x) == sigma (  ((-1)**n * x ** (2*n + 1))/fact(2*n + 1) )
>

Like, sine of 1/3 radian is about:

27047072606210481759999009438891363156074338083237552748240939073
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82663542138830139150090619203306227146181541524716231065600000000

expanding by some 20 terms.

Kirby