How accurate is this approximation in terms of n, Computer Engineering

How accurate is this approximation in terms of n

Problem

Suppose cosx is approximated by an interpolating polynomial of degree n using (n+1) equally spaced points in the interval [0,2π]. How accurate is this approximation in terms of n? What is the minimum number of points needed to achieve error less than10-6?

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Computer Engineering: How accurate is this approximation in terms of n

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