Cosine-Sine Extraction

This demonstrates how integration can extract non-shifted cosine and sine waves from a composite signal containing multiple frequencies. The filled areas represent the integration of the product over one complete period, with horizontal lines showing the extracted coefficient values.

Integration: ,

cos(t + Φ)

Frequency Components

Drag the slider to discover frequency components

∫cos(t + Φ)cos(ωt)dt

∫cos(t + Φ)sin(ωt)dt

1.0 ← Drag to change integration frequency
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