In MATLAB

1. (30 Points) It is known that the sine function can be expressed as sin(x) 2(-1) (2k+1) (2k+1 k=0 Truncate the series to compute the first seven estimates (i.e. for k 0,1,2,3,4,5, and 6) for x- For each estimate determine the magnitude of both the true error and magnitude of the approximate percent relative error. Arrange your results in a table (use fprintf- see workshop 5) that has column 1 as the '# of Terms, included in the estimate, the second column the Estimate, the third column the True Error and the fourth column the Magnitude of the Approximate Percent Relative Error MAPRE' Express everything, except the number of terms, in decimal format with 10 digits after the decimal point. The header should look exactly like this: # of terms Estimate True Error MAPRE