A commonly used approximation in mathematics is

$sin(x)=x$

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

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

for the following three values of $x$ in radians. Note the vertical bars indicate this is an absolute value.

Assign the relative error associated with $x=\frac{}{100}$ to a variable named RelativeError $100.$

Assign the relative error associated with $x=\frac{}{10}$ to a variable named RelativeError $10.$

Assign the relative error associated with $x=\frac{}{6}$ to a variable named RelativeError $6.$

Be sure to use a MATLAB command to evaluate each mathematical expression rather than just entering the result calculated elsewhere $($e$.$g$.$ a local MATLAB session or on your calculator$).$