Math 1 Quiz
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MATHEMATICAL PRACTICES & REASONING
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A student claims that the equation sin⁡(2x)=2sin⁡(x)\sin(2x) = 2\sin(x) is true for all real numbers xx because "the 2 can be factored out of the sine function just like in algebra." To refute this claim, which counterexample would be most effective along with the correct reasoning?
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