- #1
mynorka
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Homework Statement
Use a Taylor Polynomial about pi/4 to approximate cos(42){degrees} to an accuracy of 10^-6.
*To get an accuracy of 10^-6, use the error term to determine an nth Taylor Polynomial to use.
Homework Equations
x = 45 or pi/4, x0 = 42 or 7pi/30
cos(x) = Pn(x) + Rn(x)
Polynomial Term - Pn(x) = ∑f^(k)(x-x0)^k/(k)!
Error Term - Rn(x) = f^(n+1)(ζ(x))(x-x0)^(n+1)/(n+1)!
The Attempt at a Solution
(pi/60)^n/(n+1)! < ((-60/pi)*10^-6)/pi
^I get stuck at this part. I'm supposed to solve for n, but the left-hand side of this inequality confuses me.