Answer: Number of terms What is the minimum order of the

Solution 61EStep 1 of 3: In this problem we need to find the minimum order of the taylor polynomial required to approximate cos(-0.25) with an absolute error not greater than .We know that , the remainder term in the taylor expansion of the function at center ‘a’ is: |, where c lies between a and x . Let us consider center is zero.Thus the Taylor series of with center 0 is as follows; Given : f(x) = , then f(0) = = 1 , since = = -sin(x), then = -sin(0) = 0, since sin(0) = 0= = , then = = -1 = = , then = = 0……………………. cos(+x)and …………(1)Therefore , the Taylor series of with center 0 is as follows;……. = 1 - + -........