Determine the number of terms necessary to approximate cos(x) to 8 significant figures using the Maclaurin series approximation cos x = 1 - x^2/2! + x^4/4! - x^6/6! + x^8/8! - ... Use MATLAB to write a program to calculate the approximation using a value of x = 0.3? Please provide the necessary MATLAB code in your answer.
Added by Thomas G.
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The Maclaurin series for cos(x) is an alternating series, so we can use the Alternating Series Estimation Theorem. This theorem states that the absolute error is less than the absolute value of the first neglected term. In this case, we want the error to be less Show more…
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