Find the taylor polynomial t1(x) for the function f(x)=cos(x) based at b= π/6.
let a be a positive real number and let j be the closed interval [ π/6−a, π/6+a].
use the tangent line error bound to verify that
|f(x)−t1(x)|≤ (a^2)/2
for all x in j.
use this error bound to find a value of a so that
|f(x)−t1(x)|≤ 0.01
for all x in j. (round your answer to four decimal places.)
a= ?