解.log1/2|x-π/3|≥log2(2/π)=log1/2(π/2)
因为y=log1/2(x)在x>0上是个减函数,则有
|x-π/3|≤π/2
即-π/6≤x≤5π/6
则sinx的取值范围为[-1/2,1]
选B