Q6 (10 points) In this problem we are going to approximate the function f(@) = cos(@) about = 0 using a simple function of the form Amhi The goal will be to find the best parameters a and b. . [5 marks] Find the Taylor series of - about x = 0. [5 marks] Use your answer to part (a) to find the first three non-zero terms of the Taylor series for g(@ ) about I = 0. . [5 marks] Find the parameters a and b which guarantee that your answer to part (b) agrees with the first three non-zero terms in the Taylor series for f(@) = cos(@) about x = 0