Angle sum and difference

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Product FormulasThese relationships express the product of two sinusoids in terms of the sum of two sinusoids. Sometimes it is desirable to express the sum of two sinusoids in terms of a product of sinusoids, as in the description of modulated sine waves. These relationships are called the superposition relationships. 
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Superposition RelationshipsIf the sinusoids represent traveling electromagnetic waves and the arguments of the sinusoids are proportional to frequency, then these relationships show that the superposition of two sinusoids will produce components with the sum and difference of the two frequencies. 
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Fundamental Identities 
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