已知函数f(x)=cos^2(x-π⼀6)-sin^2x化简

2024-12-16 12:35:39
推荐回答(4个)
回答1:

f(x)=cos^2(x-π/6)-sin^2x=(2cos^2(x-π/6)-1+1)/2+(1-2sin^2x-1)/2=[cos(2x-π/3)+coscos2x]/2=(cos2xcosπ/3+sin2xsinπ/3+cos2x)/2=根号3(2分之根号3倍的cos2x+2分之sin2x)/2=2分之根号3倍的sin(2x+π/3)

回答2:

f(x)=cos^2(x-π/6)-sin^2x=(2cos^2(x-π/6)-1+1)/2+(1-2sin^2x-1)/2=[cos(2x-π/3)+coscos2x]/2=(cos2xcosπ/3+sin2xsinπ/3+cos2x)/2=2分之根号3倍的sin(2x+π/3)

回答3:

是这样的函数吗 f(x)=cos2(x-π/6)-sin2x

回答4:

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