Given the function f(x)= (a) (b) (c) sin x x COS X. Rewrite the given f(x) to avoid loss of significance by using the first two nonzero terms in Taylor series expansion. [2.5 marks] x ts [HINT: sinx= x -+- 3! 5! cosx=1 x + 2! 4! x 2x 3 15 ...; tan x= x++ -+...] Calculate the approximated value of f(0.25) by using SIX DIGIT arithmetic with rounding. [1 mark] The actual value of f(0.25) is 0.02070. Find the relative error from the result obtained in (b). Correct your answer into FIVE decimal places. [1.5 mark]