[tex]\displaystyle\bf\\5Cos^{2} 460^\circ+5Sin^{2} 620^\circ=5\cdot \Big[Cos^{2}\Big(360^\circ+100^\circ\Big)+Sin^{2} \Big(720^\circ-100^\circ\Big)\Big]=\\\\\\=5\cdot\underbrace{\Big(Cos^{2} 100^\circ+Sin^{2} 100^\circ\Big)}_{1}=5\cdot 1 =5\\\\\\Otvet: \ 5[/tex]