Resposta :

[tex]\\ y = 1 + \sin(2x) \\ y = 1 + \sin(x + x) \\ y = (\sin^2 + \cos^2 x) + 2 \cdot \sin x \cdot \cos x \\ y = \sin^2 x + 2 \cdot \sin x \cdot \cos x + \cos^2 x \\ y = (\sin x + \cos x)^2 \\ \boxed{y = (\sin x + \cos x)(\sin x + \cos x)}[/tex]

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