Chapter 4.2, Problem 57E

For the following exercises, compute the values given within 0.01 by deciding on the appropriate f(x) and a and evaluating $L\left(x\right)=f\left(a\right)+f\text{'}\left(a\right)\left(x-a\right)$. Check your answer using a calculator.

57. [T] $\sin \left(0.02\right)$