G'day CaptianBlack

I found the section 4.3.97 from Abramowitz and Stegun.

However i am still haing dificalty arriving at the right answer!

I have done several calculations for sine using

$\displaystyle

\frac{Sine(x)}{x}=1+a_2 x^2 + a_4 x^4 + a_6 x^6 +a_8 x^8 +a_{10} x^{10}

$

Using the number set shown in the paper and i get a correct answer every time. :-)

However when i try to use the nested form below i can't get the correct answer. Of the three examples i tried the answer was only good for 1-2 decimal places..

$\displaystyle

1+a_2x^2\left(1+\frac{a_4}{a_2}x^2\left(1+\frac{a_ 6}{a_4}x^2\left(1+\frac{a_8}{a_6}x^2\left(1+\frac{ a_{10}}{a_8}x^2\right)\right)\right)\right)

$

I think it's the way i do the equasion so let me show you what i did and you can tell me where i went wrong.

For example lets do Sine(x) for 25.55 deg.

25.55 DEG = RAD 0.445931623

So x=RAD

I have re-written the equasion to look like

$\displaystyle

Sine(x)=\left(1+\frac{a_{10}}{a_8}x^2\right)*\left (1+\frac{a_8}{a_6}x^2\right)*\left(1+\frac{a_6}{a_ 4}x^2\right)*\left(1+\frac{a_{4}}{a_2}x^2\right)*\ left(1+a_2x^2\right) * x

$

The answer i get is 0.423992833

When the correct answer is 0.431298587

Am i correct in re-arranging the equasion this way or is this why i get an incorrect answer?

Cheers

Leeroy