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3. The Maclaurin series expansion for the sine function is 00 f(x) = x x3 x5 x x 3 5 7 * 9! (-1)-1x2i-1 (2i
3. The Maclaurin series expansion for the sine function is 00 f(x) = x x3 x5 x x 3 5 7 * 9! (-1)-1x2i-1 (2i 1)! (a) Knowing that sin(1/2) = 1, write a MATLAB function SinApprox(x,m) to return the Maclaurin expansion of sin(x) using m terms of the Maclaurin series. (b) Write a script to generate the first 12 rows of the following table. Use the definition in Q2 of the percent true error. Termi f(:) True Error (%) Number of Terms (1) 1 2 : 12
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