设函数f(x)=2sinxcos^2φ/2+cosxsinφ-sinx(0

f(x)=2sinxcos^2(φ/2)+cosxsinφ-sinx
=sinx*[2cos^2(φ/2) -1] +cosxsinφ
=sinxcosφ +cosxsinφ
=sin(x+φ)
由于f(x)在x=π处有最小值,则sin(π+φ)=-1
即sinφ=1
因为0