CPM Homework Help : CALC Problem 12-35

Find the 2^nd degree polynomial, $p_2(x)$ , to approximate $f(x) =\operatorname{sin} x$ near $x = \frac { \pi } { 2 }$ .

Step 1:

$f\Big(\frac{\pi}{2}\Big)=\sin\Big(\frac{\pi}{2}\Big)=1$