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Use a Grapher to Conjecture Whether the Equation Is Likely sin4xcos2x=cos2x+sin4xcos6x\sin ^{4} x \cos ^{2} x=\cos ^{2} x+\sin ^{4} x-\cos ^{6} x

Question 33

Essay

Use a grapher to conjecture whether the equation is likely to be an identity. If it is not, give a counter example.
sin4xcos2x=cos2x+sin4xcos6x\sin ^{4} x \cos ^{2} x=\cos ^{2} x+\sin ^{4} x-\cos ^{6} x

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No; any value of x ...

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