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Sine: Expansions
(Math | Algebra | Functions | Expansions)

 

Sine: Expansions

Series:
sin(x) = [sum (k=0..inf)] (-1)k x2k+1 / (2k+1)!
= x - (1/3!)x3 + (1/5!)x5 - (1/7!)x7
(This can be derived from Taylor's Theorem.)

Product:
sin(x) = x[product (k=1..inf)] (1 - (x / kPI)2)
= x(1 - (x/PI)2)(1 - (x/2PI)2)(1 - (x/3PI)2)*...

  
 
  

 
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