Calculus

Fourier Series

Building functions from sine waves

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Building Functions with Fourier Series

1-10---- Target── Approximation (n=5)
Terms:

Target Function

Number of terms5

Accuracy

RMS error0.2640

⚡ Add more terms

f(x) = Σ (aₙ cos nx + bₙ sin nx)

💡 Why it works

Every periodic function can be decomposed into a sum of sines and cosines. The more harmonics you add, the more accurate the approximation. Add terms and watch the error decrease.