Find the fourth degree Taylor polynomial for f(x)=cos c centered at c= pi/4. Use it to approximate cos 50 degrees to five decimal places. Write the actual error with at least one sifnificant digit.  Also use Taylor's Theorem to find the maximum possible error from this approximation.

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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Find the fourth degree Taylor polynomial for f(x)=cos c centered at c= pi/4. Use it to approximate cos 50 degrees to five decimal places. Write the actual error with at least one sifnificant digit.  Also use Taylor's Theorem to find the maximum possible error from this approximation. 

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