已知函数f(x)=2sin(3x+y)若f(π/3)=根号2,则f(3π)=

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已知函数f(x)=2sin(3x+y)若f(π/3)=根号2,则f(3π)=

f(π/3)=2sin(π+y)=-2siny=√2
f(3π)=2sin(9π+y)=-2siny=√2

f(π/3)=2sin(π+y)=根号2
sin(-y)=根号2/2
y=-π/4
f(3π)=2sin(9π-π/4)=2sin(3π/4)=根号2