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−1 1/2 . 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

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

Question Posted: