Math Problem Statement
Solution
To solve this, we can approximate using the Maclaurin series expansion for . The Maclaurin series for is given by:
We will use enough terms to get an approximation accurate to five decimal places.
Let's calculate the approximation using . I'll now compute that for you.Using the Maclaurin series for , the approximation up to four
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Math Problem Analysis
Mathematical Concepts
Calculus
Taylor/Maclaurin Series
Formulas
Maclaurin series for cos(x): cos(x) = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + ...
Theorems
Maclaurin Series Expansion
Suitable Grade Level
University level (Calculus I/II)
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