Re: Transforming a polynomial into a trigonometric format tia sal2

*To*: mathgroup at smc.vnet.net*Subject*: [mg88234] Re: [mg88207] Transforming a polynomial into a trigonometric format tia sal2*From*: "W_Craig Carter" <ccarter at mit.edu>*Date*: Tue, 29 Apr 2008 06:48:52 -0400 (EDT)*References*: <200804280839.EAA05988@smc.vnet.net>

Hello Tia, I don't think what you are trying to do is possible, but you may be able to find approximation methods to get close. Possible methods include: a) Truncated Fourier Series, (FourierTrigSeries) b) Expanding a trignometric function in a series, and then comparing coefficients (Series, Collect, Solve) c) Fit data generated by your model polynomial to your trigonometric form. (Table, FindFit) Best Wishes, Craig On Mon, Apr 28, 2008 at 4:39 AM, <ratullochjk2 at gmail.com> wrote: > I'm using mathematica 6 and I have a polynomial and would like to > convert it into > a Trigonometric format. Is this possible? > > Example: > I have a polynomial > 0.00154991- 4.01371 x + 1.81197 x^2 + 8.00183 x^3 - 9.3462 x^4 > > How can I transform this into a trigonometric format > Example: > 0.00596679 Cos[6.98132 x] + 0.00358397 Cos[7.21403 x] + > 2.25013 Sin[0.232711 x] - 4.51511 Sin[0.465421 x]

**References**:**Transforming a polynomial into a trigonometric format tia sal2***From:*ratullochjk2@gmail.com