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:

$=|\frac{sin(x)-x}{sin(x)}|$

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 $0\mathrm{.}01$ and ending at $\frac{}{2},$ 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$)$