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How does a buck converter's output ripple waveform become sinusoidal

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newbie_hs

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Below image is from Fundamentals of Power Electronics.
W9iWK.png

The ripple component of the inductor current will be flowing through the capacitor as shown in the ic(t) graph. This one I understood.

May I know how the ripple waveform becomes sinusoidal? What is the mathematical equation behind it?
 

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