Use an appropriate taylor polynomial about 0 and the lagrange remainder formula to approximate sin(4/7) with an error less than 0.0001. sin(4/7) ≈ ? (give your answer to 6 decimal places)what is the smallest value of n for which the approximation above is guaranteed to have an error less than 0.0001? (be careful. think about the actual terms used in the series as well as the remainder.)n = ?