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What are sum and difference identities?

What are sum and difference identities? Key Equations Sum Formula for Cosine cos(α+β)=cosαcosβ−sinαsinβ Sum Formula for Tangent tan(α+β)=tanα+tanβ1−tanαtanβ Difference Formula for Tangent tan(α−β)=tanα−tanβ1+tanαtanβ Cofunction identities