Using Matlab

1.4 Accurate range of the Taylor series function [range]TaylorAccRange (N, to1) Input Type Description Number of terms to be used in Taylor expansion for sine, an integer greater than 0 1x1 double Tolerance, which is greater than 0 tol Output range 1x1 double The range of angles for which the error in the Nth Taylor expansion is less than the given tolerance, tol. The range should contain the minimum and maxi- mum angle in radians for which every angle in be- tween can be found to within the given tolerance. 1x2 double Write a function to examine how well the new and improved approximation for sine works by finding the range of angles for which its accuracy is acceptable. 1.4 Accurate range of the Taylor series function [range]TaylorAccRange (N, to1) Input Type Description Number of terms to be used in Taylor expansion for sine, an integer greater than 0 1x1 double Tolerance, which is greater than 0 tol Output range 1x1 double The range of angles for which the error in the Nth Taylor expansion is less than the given tolerance, tol. The range should contain the minimum and maxi- mum angle in radians for which every angle in be- tween can be found to within the given tolerance. 1x2 double Write a function to examine how well the new and improved approximation for sine works by finding the range of angles for which its accuracy is acceptable