由已知条件f(π/6)=f(π/2),且f(x)在区间(π/6,π/2)内有最大值无最小值,所以
x=1/2*(π/6+π/2)=π/6)=π/3取到对称点且有(π/3)=sin(w*π/3+π/3)=sin(π/2)=1又 w>0,
所以w=1/2 为所求.
由已知条件f(π/6)=f(π/2),且f(x)在区间(π/6,π/2)内有最大值无最小值,所以
x=1/2*(π/6+π/2)=π/6)=π/3取到对称点且有(π/3)=sin(w*π/3+π/3)=sin(π/2)=1又 w>0,
所以w=1/2 为所求.