填空题 已知cos(α-π/3)=1/2 ,则sin(α+π/6)=____

填空题 已知cos(α-π/3)=1/2 ,则sin(α+π/6)=____
填空题 已知cos(α-π/3)=1/2 ,则sin(α+π/6)=____

填空题 已知cos(α-π/3)=1/2 ,则sin(α+π/6)=____
设X=α-π/3,则sin（α+π/6）=sin（X+π/2）=cosX=1/2

sin(α+π/6)=cos[π/2-(α+π/6)]=cos(π/3-α)=cos(α-π/3)=1/2

sin(α+π/6)=cos(π/3－α)=cos(α－π/3)=1/2