Series:
sin(x)= ![[sum (k=0..inf)]](px/sumk0inf.gif){kind=small}
(-1)k
x2k+1 / (2k+1)!
= x - (1/3!)x3 + (1/5!)x5 -
(1/7!)x7
(This can be derived from Taylor's Theorem.)
cos(x) = (-1)k x2k
/ (2k+1)!
= 1 - (1/2!)x2 + (1/4!)x4 - (1/6!)x6
(This can be derived from Taylor's Theorem.)
Product:
sin(x) = x![[product (k=1..inf)]](px/prodk1inf.gif){kind=small}
(1 -
(x / kPI)2)
= x(1 - (x/PI)2)(1 - (x/2PI)2)(1 -
(x/3PI)2)*...
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