(MATLAB)

A commonly used approximation in mathematics is sin(x) = x where x is in radians. Write a script to calculate the relative error, , in the small angle approximation defined by: E = sin(x) x sin(x) Note the vertical bars indicate this is an absolute value. Write a script to generate a 3-column matrix with the first column containing 100 equally spaced values of x starting at 0.01 and ending at a/2, the second column containing the corresponding values of sin(x), and the third column containing the relative error of the small angle approximation. Assign the matrix to the variable SmallAngleErrorTable. Solve this problem using vectorized code (i.e. do not use a loop in your solution.)