The function sin(x) can be approximated by summing the first n terms of the infinite series sin(x)-x -x3/3! +x515!-x17! +... where x is expressed in radians (Note: radians 1800) Write a C program that can be used to answer the following questions during the lab: a) For a value of x -0.1, how many terms do you need in the power series so that the result from the series equals the result from the sin(x) library function up to the 6th decimal place b) For a value of x -1.3, how many terms do you need for achieving the same accuracy as in (a)? Assume that there exists a function double fact(int n) that returns the factorial value of an integer as a double. This function will be given to you. There is a standard C function double pow(double x, double y) that returns the result ofx to the power y as a double type. You will need to include math.h to use this function (#include )