SOLUTION: Use the first five terms of the trigonometric series (shown below) to approximate sin(π/5). sin(x)=x-x^3/3!+x^5/5!-x^7/7!+...

Algebra ->  Sequences-and-series -> SOLUTION: Use the first five terms of the trigonometric series (shown below) to approximate sin(π/5). sin(x)=x-x^3/3!+x^5/5!-x^7/7!+...      Log On


   



Question 1031644: Use the first five terms of the trigonometric series (shown below) to approximate sin(π/5).
sin(x)=x-x^3/3!+x^5/5!-x^7/7!+...

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use the first five terms of the trigonometric series (shown below) to approximate sin(π/5).
sin(x)=x-x^3/3!+x^5/5!-x^7/7!+...
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You listed 4 terms.
sin(x)=x-x^3/3!+x^5/5!-x^7/7!+x^9/9!
--> 0.59456922
--> 36.48 degs or 0.202674889*pi radians