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mathematical identity

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A **mathematical identity** is an equation that holds true for all values of the variables involved. Unlike conditional equations, which are true only for specific values, a mathematical identity expresses a fundamental equality that remains valid universally. Common examples include algebraic identities like the Pythagorean identity ( sin^2 theta + cos^2 theta = 1 ) and the distributive property ( a(b + c) = ab + ac ). This tag can be used to categorize content related to these essential, universally applicable equations in mathematics.

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