Level 7
Level 8

Sum-to-product identities


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sinα + sinβ
2 sin[(α+β)/ 2] cos[(α-β)/ 2]
sinα - sinβ
2 cos[(α+β)/ 2] sin[(α-β)/ 2]
cosα + cosβ
2 cos[(α+β)/ 2] cos[(α-β)/ 2]
cosα - cosβ
-2 sin[(α+β)/ 2] sin[(α-β)/ 2]