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Update linearApproximation4.tex #968

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20 changes: 1 addition & 19 deletions linearApproximation/exercises/linearApproximation4.tex
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Original file line number Diff line number Diff line change
Expand Up @@ -15,25 +15,7 @@
\begin{hint}
Let $f(x)=\sin{x}$ and $a=\pi$.
\end{hint}
\begin{hint}
Evaluate.
$f(a)=\answer{0}$,
$f'(x)=\cos{x}$,
$f'(a)=\answer{-1}$.
\end{hint}
\begin{hint}
Find an expression for $L(x)$, the linear approximation of $f$ at $a$.
\end{hint}
\begin{hint}
$L(x)=f(\pi)+f'(\pi)\cdot(\answer{x-\pi})$
\end{hint}
\begin{hint}
$L(\pi+0.3)=-(\answer{0.3})$
\end{hint}
\begin{hint}
Approximate.
$f(\pi+0.3)\approx L(\pi+0.3)$
\end{hint}

\begin{prompt}
$$\sin(\pi+0.3) \approx \answer{-0.3}$$
\end{prompt}
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