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Prove sin^2A + cos^2A = 1

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Explanation:


{sin}^(2) A + {cos}^(2) A = 1 \\ lhs = {sin}^(2) A + {cos}^(2) A \\ = {sin}^(2) A + 1 - {sin}^(2) A \\ = 1 \\ = rhs \\ \therefore \: {sin}^(2) A + {cos}^(2) A = 1 \\

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