Consider the expression

where $.$

The series approximates the$$sine$$function$,$ i$.$e$.,..$

We can compute the sum $$using the recurrence relations $$and $$with initial values $$and $.$

Write a function named compute$\_$sine$\_$sum$\_$err$$that accepts two input variables, a real value x$$used in the sum, and the positive real value errorTol.

Add commands to the function that compute the expression $$until it converges to within errorTol. Specifically, convergence occurs when the relative absolute error $$is less then errorTol. Do not use the factorial$$function$.$

Assign the value of the sum to the output variable S$.$

Assign the number of terms in the sum to the output variable noTerms. Notice that noTerms$$will be equal to $,$ because the sum $$starts indexing at $0.$

If errorTol$$is negative, then assign the empty vector value $[]$to S$,$ and assign $-1$to noTerms.

Note the value of the variables x$$and errorTol$$are defined as inputs to the function. Do not overwrite these values in your code. Be sure to assign values to the output variables S$,$ and noTerms.