Math Problem Statement
Find the value of cos x at π/4 with 5 digit accuracy using the expansion cos x = 1-x²/2!+x⁴/4!-x⁶/6!+x⁸/8!...find abosulte, relative and percentage error
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Taylor Series Expansion
Error Approximation
Formulas
cos x = 1 - x²/2! + x⁴/4! - x⁶/6! + x⁸/8! + ...
Absolute Error = |True Value - Approximate Value|
Relative Error = (Absolute Error) / (True Value)
Percentage Error = (Relative Error) * 100
Theorems
Taylor Series Expansion
Suitable Grade Level
Undergraduate Level (Calculus/Advanced Mathematics)