Approximations Choose a Taylor series and a center point a

Chapter 8, Problem 73E

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QUESTION:

Approximations Choose a Taylor series and a center point a to approximate the following quantities with an accuracy of at least \(10^{-4}\).

\(\cos 40^{\circ}\)

Questions & Answers

QUESTION:

Approximations Choose a Taylor series and a center point a to approximate the following quantities with an accuracy of at least \(10^{-4}\).

\(\cos 40^{\circ}\)

ANSWER:

Solution 73E

Step 1:

Choosing the function  centered at 0 to approximate .

We know that the taylor series for  centered at 0 is :

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