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Mathematics

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[tex] \sin(45 + x) - \cos(45 - x) = ?[/tex]

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[tex]\sin(45^{\circ} +x ) - \cos( 45^{\circ} -x)\\\\=\sin(45^{\circ} +x) - \sin(90^{\circ} -45^{\circ} +x)\\\\=\sin(45^{\circ} +x) - \sin(45^{\circ} +x)\\\\=0[/tex]

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