sinα=1/2,α为锐角
∴ cosα=√(1-sin²α)=√(1-1/4)=√3/2
∴ f(α)
=sin(α+π/6)
=sinα*cos(π/6)+cosα*sin(π/6)
=(1/2)*(√3/2)+(√3/2)*(1/2)
=√3/2
sinα=1/2,α为锐角
∴ cosα=√(1-sin²α)=√(1-1/4)=√3/2
∴ f(α)
=sin(α+π/6)
=sinα*cos(π/6)+cosα*sin(π/6)
=(1/2)*(√3/2)+(√3/2)*(1/2)
=√3/2