Consider the following function. f(x) = sin(x), a = π/6, n = 4, 0 ≤ x ≤ π/3 (a) approximate f by a taylor polynomial with degree n at the number a. t4(x) = (b) use taylor's inequality to estimate the accuracy of the approximation f(x) ≈ tn(x) when x lies in the given interval. (round your answer to six decimal places.) |r4(x)| ≤