#rarrsin120°=sin(180°-60°)=sin60°=sqrt(3)/2#
#rarrcos120°=cos(180°-60°)=-cos60°=-1/2#
#rarrsin240°=sin(180°+60°)=-sin60°=-sqrt(3)/2#
#rarrcos240°=cos(180°+60°)=-cos60°=-1/2#
#rarrsin300°=sin(360°-60°)=-sin60°=-sqrt(3)/2#
#rarrcos300°=cos(360°-60°)=cos60°=1/2#
Note #rarr#sin is not changed into cos and vice versa because we used #180°(90°*2)# and #360°(90°*4)# which are even multiples of #90°# and the sign of the angle is determined by the quadrant to which the angle lies.