Given f(x) = cos(x) and x =π/6
t2(x)= (√3//2)(x-(π//4)√3(x-(π/6)2)

let a be a positive real number and let j be the closed interval [(π/6)-a,(π/6)+a] use theuse the quadratic approximation error bound to verify that
a. |f(x)−t2(x)|≤ a3/3! for all x in j.
use this error bound to find a value of a so that
b. |f(x)−t2(x)|≤ 0.01 for all x in j. (round your answer to six decimal places.)
a=