sin135^\circ=sin(90^\circ+45^\circ)=-cos45^\circ=-\frac{1}{2}
tg330^\circ=tg(270^\circ+60^\circ)=-ctg60^\circ=-\frac{\sqrt3}{3}
sin(-690^\circ)=sin(-330^\circ)=-sin(330^\circ-360^\circ)=-sin(-30^\circ)=sin30^\circ=\frac{1}{2}
tg(-1110^\circ)=tg(-30^\circ)=-tg30^\circ=-\frac{\sqrt3}{3}
e)
\frac{sin2\pi}{3}=sin\frac{2*180^\circ}{3}=sin120^\circ=sin(90^\circ+30^\circ)=cos30^\circ=\frac{\sqrt3}{2}
f)
tg\frac{4\pi}{3}=\frac{4*180^\circ}{3}=tg240^\circ=tg(180^\circ+60^\circ)=tg30^\circ=\sqrt3