Math Problem Statement
Jabarkan fungsi berikut dalam bentuk deret fourier sinus-cosinus hingga n=5 menggunakan bantuan komputasi untuk memperoleh koefisien deret fourier tersebut
Solution
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Math Problem Analysis
Mathematical Concepts
Fourier Series
Piecewise Functions
Trigonometry
Sine and Cosine Functions
Formulas
Fourier sine-cosine series formula: f(x) = a_0 + Σ[a_n * cos(nx) + b_n * sin(nx)]
Fourier coefficients: a_n = (2/T) ∫_0^T f(x) cos(nx) dx, b_n = (2/T) ∫_0^T f(x) sin(nx) dx
Theorems
Fourier Series Theorem
Suitable Grade Level
Undergraduate (Math/Physics)