DETAILS MY NOTES ASK YOUR TEACHER Consider the following function. f (x) = - sin (x) , a = =in =4,0 SIS (a) Approximate f by a Taylor polynomial with degree n at the number a. TA( X ) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f= (x) when x lies in the given interval. (Round the answer to six decimal places.) |R4(X) IS (c) Check your result in part (b) by graphing |R,(x)|. (Do this on your graphing device. Your instructor may ask to see this graph.) ec Show My Work (Optional)