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This paper introduces the target sum function along with its characteristics.The target sum function takes a list of integers and a specific target integeras input values and expresses the number of ways to obtain the target sum byeither adding or subtracting all of the integers from the given list. Thisfunction is rooted in the target sum problem which is explored in the fields ofcomputer science and combinatorics. This paper, following the establishment ofthe generalized Werner's formula, will propose a link between the target sumfunction and the definite integral of the product of sine and cosine functionsbased on the formula.

Generalized Werner's formula and the connection between trigonometry with target sum problems