已知函数f(x)=sin(2x+π/3),设g(x)=f(x)-根号3f(x+π/4),且tana=根号2,求g(a)的值

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已知函数f(x)=sin(2x+π/3),设g(x)=f(x)-根号3f(x+π/4),且tana=根号2,求g(a)的值

已知函数f(x)=sin(2x+π/3),设g(x)=f(x)-根号3f(x+π/4),且tana=根号2,求g(a)的值
已知函数f(x)=sin(2x+π/3),设g(x)=f(x)-根号3f(x+π/4),且tana=根号2,求g(a)的值

已知函数f(x)=sin(2x+π/3),设g(x)=f(x)-根号3f(x+π/4),且tana=根号2,求g(a)的值
g(x)=sin(2x+π/3)-√3 cos(2x+π/3)
=2[0.5sin(2x+π/3)-(√3/2)cos(2x+π/3)]
=2sin[2x+(π/3)-(π/3)]
=2sin2x
已知tana=√2,所以g(a)=2sin2a=4sina*cosa=4*(√2/√3)*(1/√3)=4√2/3