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The Maclaurin series expansion for cos x is cos x = 1 - x^2/2 + x^4/4! - x^6/6! + x^8/8! - Starting with simplest version

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The Maclaurin series expansion for cos x is cos x = 1 - x^2/2 + x^4/4! - x^6/6! + x^8/8! - Starting with simplest version (i.e., the first term only), cos x = 1, add terms one at a time to estimate cos(pi/3). After each new term is added, compute the true and approximate percent relative errors. Use your calculator, Excel or Matlab to determine the true error value. Add terms until the absolute value of the approximate error estimate falls below an error criterion conforming to two significant digits

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