画江湖之杯莫停完颜政:怎么求....

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f(x)=3sin(x/3+π/4),g(x)=3根3sin(x/3-π/4),求f(x)+g(x)最大值.

sin(x/3-π/4)=sin(x/3-π/4+π/2)=sin(x/3+π/4)
f(x)=[g(x)^2]/9
f(x)+g(x)=[g(x)^2]/9+g(x)={[g(x)+9/2]^2}/9-9/4
g(x)max=3根3
[f(x)+g(x)]max=懒得算