The goal of this problem is to approximate cos(-0.02). (a) Identify a useful function and base point that will make this computation not too difficult. (b) Use the best lincar approximation of the function (i.e. a first degree Taylor Poly- nomial) to approximate cos(-0.02). (c) Use the second degree Taylor Polynomial to approximate cos(-0.02). (d) Use a calculator to find cos(-0.02) to many decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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3. The goal of this problem is to approximate cos(-0.02).
(a) Identify a useful function and base point that will make this computation not too
difficult.
(b) Use the best lincar approximation of the function (i.e. a first degree Taylor Poly-
nomial) to approximate cos(-0.02).
(c) Use the second degree Taylor Polynomial to approximate cos(-0.02).
(d) Use a calculator to find cos(-0.02) to many decimal places.
Transcribed Image Text:3. The goal of this problem is to approximate cos(-0.02). (a) Identify a useful function and base point that will make this computation not too difficult. (b) Use the best lincar approximation of the function (i.e. a first degree Taylor Poly- nomial) to approximate cos(-0.02). (c) Use the second degree Taylor Polynomial to approximate cos(-0.02). (d) Use a calculator to find cos(-0.02) to many decimal places.
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