[tex]\sin^{2}2014^{\circ}+\cos^{2}2374^{\circ} =\\ \\ = \sin^2 2014+\cos^2(360^{\circ}+2014^{\circ})\\ \\ = \sin^{2}2014^{\circ}+\cos^{2}2014^{\circ} \\ \\ = 1[/tex]
