[Solution Library] Let f(x)= cos (x). Find the Taylor polynomial p_4(x) with remainder R_4(x) about x_0=(π)/(6). [Simplify your answer] Use the Taylor


Question: Let \(f(x)=\cos (x)\). Find

  1. the Taylor polynomial \(p_{4}(x)\) with remainder \(R_{4}(x)\) about \(x_{0}=\frac{\pi}{6}\). [Simplify your answer]
  2. Use the Taylor polynomial to approximate \(\cos \left(31^{\circ}\right)\). [Do not round your calculator]
  3. Use the remainder to estimate the accuracy (in number of significant decimal places) the accuracy of you approximation made in part \(b\) :

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