A commonly used approximation in mathematics is

where is in radians. Write a script to calculate the relative error, $,$ in the small angle approximation defined by:

Note the vertical bars indicate this is an absolute value. Write a script to generate a $-$column matrix with the first column containing equally spaced values of starting at and ending at $,$ the second column containing the corresponding values of $,$ 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.$)$