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We often reason with trigonometric identities such as sin^2(x) + cos^2(x) = 1. Given a set...

We often reason with trigonometric identities such as sin^2(x) + cos^2(x) = 1. Given a set of such identities S and an identity to prove using the set S, what would be the most efficient data structure and algorithm for this purpose. Justify your answer. Explain the representation of the identities with an example.

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