求函数y=3sin(x+π/9)+5sin(x+4π/9)的最大值
问题描述:
求函数y=3sin(x+π/9)+5sin(x+4π/9)的最大值
答
y=3sin(x+π/9)+5sin(x+4π/9)=3sin(x+π/9)+5sin(x+π/9+π/3)=3sin(x+π/9)+5/2*sin(x+π/9)+(5√3)/2*cos(x+π/9)=11/2*sin(x+π/9)+(5√3)/2*cos(x+π/9) (辅助角公式)=7sin(x+π/9+θ)故最大值是7...