The Maclaurin series expansions of sinx and cosx are as follows: cos x = 1 2! + 6! 4! x7 + 7! sin x = x – + 3! 5! (a) Determine the first four nonzero terms of cos (x²). (b) Determine the first four nonzero terms of cos²x. (c) What is f( (0) for cos (x²)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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The Maclaurin series expansions of sinx and cosx are as follows:
x2
cos x = 1.
2!
+
6!
4!
sin x = x –
3!
x7
+
7!
5!
(a) Determine the first four nonzero terms of cos (x²).
(b) Determine the first four nonzero terms of cos²x.
(c) What is f( (0) for cos (x²)?
Transcribed Image Text:The Maclaurin series expansions of sinx and cosx are as follows: x2 cos x = 1. 2! + 6! 4! sin x = x – 3! x7 + 7! 5! (a) Determine the first four nonzero terms of cos (x²). (b) Determine the first four nonzero terms of cos²x. (c) What is f( (0) for cos (x²)?
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