. (a) Find the Taylor series of cos 2x at x = 0, either by direct calculation or by using the known series for cos x. (b) Use the trigonometric identity sin? x = }(1 – cos 2x) to find the Taylor series of sin² x at x = 0.
. (a) Find the Taylor series of cos 2x at x = 0, either by direct calculation or by using the known series for cos x. (b) Use the trigonometric identity sin? x = }(1 – cos 2x) to find the Taylor series of sin² x at x = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Transcribed Image Text:. (a) Find the Taylor series of cos 2x at x = 0, either by direct
calculation or by using the known series for cos x.
(b) Use the trigonometric identity
sin? x = }(1 – cos 2x)
to find the Taylor series of sin² x at x = 0.
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