given that sin(1) = 1 - 1/3! + 1/5! ... 1/(2i+1)! determin how many terms are needed to approximate sin(1) within 10^-4

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- Apr 24th 2009, 09:01 AMdiroganumber of terms for approximation
given that sin(1) = 1 - 1/3! + 1/5! ... 1/(2i+1)! determin how many terms are needed to approximate sin(1) within 10^-4

- Apr 24th 2009, 09:11 AMaidan
- Apr 24th 2009, 10:33 AMdiroga
well yeah i can add up the values.

sin(1) = 0.8414709848

7 terms = 0.841468254

9 terms = 0.8414710097

it says to approximate with in 10^-4 which would be 0.8414. 7 terms looks good enough or by rounding do i need to go to 9 terms.

Should there be a formula to solve this or is it just manul computation?