(1)y=sinx的值域是[-1,1]
∴ y=sin(x+π/3)的值域是[-1,1]
(2)∵ 0≤x≤π/2
∴ π/3≤x+π/3≤5π/6
∴ x+π/3=π/2时,sin(x+π/3)有最大值1
x+π/3=5π/6时,sin(x+π/3)有最大值1/2
∴ y=sin(x+π/3)的值域是[1/2,1]
(1)y=sinx的值域是[-1,1]
∴ y=sin(x+π/3)的值域是[-1,1]
(2)∵ 0≤x≤π/2
∴ π/3≤x+π/3≤5π/6
∴ x+π/3=π/2时,sin(x+π/3)有最大值1
x+π/3=5π/6时,sin(x+π/3)有最大值1/2
∴ y=sin(x+π/3)的值域是[1/2,1]