函数y=根号3/2*sin(x+派/2)+cos(派/6-x)的最大值.

问题描述:

函数y=根号3/2*sin(x+派/2)+cos(派/6-x)的最大值.

y=根号3/2*sin(x+派/2)+cos(派/6-x) =(√3/2)cosx+cos(π/6)cosx+sin(π/6)sinx =√3cosx+(1/2)sinx =√(1/4+3) *sin(x+∅) ∅是锐角,且tan∅=√3/(1/2)=2√3 =(√13/2)*sin(x+∅)∴ 函...