Practice problem

What Is Quadratic (2nd Order) Taylor Approximation?

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Let $f(x) = \cos x$ , where all angles are measured in radians. It turns out that $f(1) = 0.540\ldots$

Let $g(x)$ be the linear approximation to $f(x)$ , and let $h(x)$ be the quadratic approximation to $f(x)$ , as shown:

$f(x)$

$g(x)$

$h(x)$

$x$

$y$

Determine the value of $h(1)$ .