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equation here: Equation DSB-SC here: DSB-SC

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  • \$\begingroup\$ Did you read the paragraph preceding the formula in Wikipedia? It's explained right there. \$\endgroup\$ – The Photon Apr 15 at 2:43
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The purpose of the \$\sin\left(2\pi f_p t\right)\$ term is explained in the immediately preceding paragraph in the Wikipedia article:

A 19 kHz±2 Hz[7] pilot tone, at exactly half the 38 kHz sub-carrier frequency and with a precise phase relationship to it, as defined by the formula below, is also generated. This is transmitted at 8–10% of overall modulation level and used by the receiver to identify a stereo transmission and to regenerate the 38 kHz sub-carrier with the correct phase.

This is not DSB-SC, because DSB-SC is an AM modulation format and the article you're asking about is about FM modulation.

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