y=sinx×sin(x+π/6)

问题描述:

y=sinx×sin(x+π/6)

y=sinx×sin(x+π/6)=sinx(√3/2sinx+1/2cosx)=√3/2sin^2x+1/2sinxcosx=√3/4(1-cos2x)+1/4sin2x=1/2sin(2x-π/3)+√3/4,求什么?最小正周期T=π最大值y=(2+√3)/4,最小值y=(-2+√3)/4kπ-π/12...