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(b) Using the first four terms of the Taylor series of a function f(x) about x = a given by (i) (ii) X³ f(a+x) = f(a)+xf'(a)+f"(a)+f"(a) +.... 2! obtain the Taylor series of cos (+ x). Hence using your results, calculate an approximate value of cos 47⁰ (correct to 4 decimal places). (Note: 45º =)

(b) Using the first four terms of the Taylor series of a function f(x) about x = a given by (i) (ii) X³ f(a+x) = f(a)+xf'(a)+f"(a)+f"(a) +.... 2! obtain the Taylor series of cos (+ x). Hence using your results, calculate an approximate value of cos 47⁰ (correct to 4 decimal places). (Note: 45º =)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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please may you answer the question below . many thanks

(b) Using the first four terms of the Taylor series of a function f(x) about x = a given by (i) (ii) X³ f(a+x) = f(a)+xf'(a)+f"(a)+f"(a) +.... 2! obtain the Taylor series of cos (+ x). Hence using your results, calculate an approximate value of cos 47⁰ (correct to 4 decimal places). (Note: 45º =)
Transcribed Image Text:(b) Using the first four terms of the Taylor series of a function f(x) about x = a given by (i) (ii) X³ f(a+x) = f(a)+xf'(a)+f"(a)+f"(a) +.... 2! obtain the Taylor series of cos (+ x). Hence using your results, calculate an approximate value of cos 47⁰ (correct to 4 decimal places). (Note: 45º =)
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