Use the first five terms of the Maclaurin series in Exercise 45 to approximate sin 1 1/2

Question:

Use the first five terms of the Maclaurin series in Exercise 45 to approximate sin⁻¹1/2 . Compare the result with the calculator value.

Data From Exercise 45

Show, by integrating the Maclaurin series for ƒ(x) =1√1 − x², that for |x|

sin x = x + n=1 1.3.5 (2n-1) xn+1 2.4.6 (2n) 2n + 1

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:07 AM

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Use the first five terms of the Maclaurin series in Exercise 45 to approximate sin 1 1/2

Question:

sin ¹ x = x + n=1 1.3.5 (2n-1) x²n+1 2.4.6 (2n) 2n + 1

Step by Step Answer:

From Exercise 45 we know that for x 1 Data From Exer...View the full answer

Calculus

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