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8 Questions around this concept.
is equal to :
Sum/Difference into Product-
Proof
These formulas can be derived from the product-to-sum identities. For example, with a few substitutions, we can derive the sum-to-product identity for sine.
Let :
Then,
Thus, replacing α and β in the product-to-sum formula with the substitute expressions, we have
The other sum-to-product identities are derived similarly.
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