(A) Find the Third-Order Taylor Polynomial Associated With $f ( x ) = \sin ^ { - 1 } x \text { at } a = 0$

Essay

(a) Find the third-order Taylor polynomial associated with $f ( x ) = \sin ^ { - 1 } x \text { at } a = 0$ .(b) Use the Taylor polynomial from part (a) to find an approximation of $\sin ^ { - 1 } 0.2$ .(c) Compare the value you calculated in part (b) with your calculator's value for $\sin ^ { - 1 } 0.2$