Respuesta :

[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]