Можно решить с использованием таблицы косинусов
y=cos(x+π/3) при х=а
а=π/6: y=cos(π/6+π/3)=cos((π+2π)/6)=cos(3π/6)=cos(π/2)=0
a=π/3: y=cos(π/3+π/3)=cos(2π/3)=-1/2
a=π/2: y=cos(π/2+π/3)=cos((3π+2π)/6)=cos(5π/6)=-√3/2
a=7π/6: y=cos(7π/6+π/3)=cos((7π+2π)/6)=cos(9π/6)=cos(3π/2)=0