Linear interpolation in a table of function values means the following: If y0 = f (x0) and y1 = f (x1) are tabulated values, and if x0 < x < x1, then an interpolated value of f (x) is y0 + [(y1 − y0)/(x1 − x0)](x − x0), as explained at the beginning of Section 4.1. A table of values of cos x is required so that the linear interpolation will yield five-decimal-place accuracy for any value of x in [0, π]. Assume that the tabular values are equally spaced, and determine the minimum number of entries needed in this table.
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