Fourier Series Calculator
Calculate Fourier series expansions and harmonic coefficients for periodic waveforms.
Waveform Parameters
Fourier Approximation (10 harmonics)
0.96824762
Exact Value
1.00000000
Approximation Error
3.1752e-2
Harmonic Coefficients
n=1bₙ=1.2732
n=3bₙ=0.4244
n=5bₙ=0.2546
n=7bₙ=0.1819
n=9bₙ=0.1415
n=11bₙ=0.1157
n=13bₙ=0.0979
n=15bₙ=0.0849
Fourier Series Formula
f(x) = a₀/2 + Σ[aₙcos(nωx) + bₙsin(nωx)]
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
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Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.