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求函数y=3sin(x+π/9)+5sin(x+4π/9)的最大值
人气:229 ℃ 时间:2019-11-02 22:46:44
解答
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...
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