设f(x)=2根号3sin(180-x)sinx-(sinx-cosx)的平方

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设函数f(x)=sin(x+π/3)+2sin(x-π/3)-根号3cos(2π/3-x)

因为:f(π/6)=sinπ/2+2sin(-π/6)-根号3cos(π/2)=1-1-0=0所以:f(π/6)f(π/3)=0再问:原式=sin(x+π/3)+√3cos(x+π/3)+2sin(x

已知函数f(x)=cos^2x-sin^2x+2根号3sinxcosx+1

f(x)=cos^2x-sin^2x+2(根号3)sinxcosx+1=cos2x+(根号3)sin2x+1=2{(1/2)cos2x+[(根号3)/2]sin2x}+1=2sin(2x+派/6)+1

设函数f(x)=根号二除以二cos(2x+派除以四)+sin平方x (1)求f(x)的最小正周期 (

马上再问:靠你了再答:再答:好了。给个好评吧

已知f(x)=sin(2x+л/3)+sin(2x-л/3) g(x)=根号三cos2x (1)设

f(x)=sin(2x+π3)+sin(2x-π/3)f(x)=sin(2x)cos(π/3)+co(2x)sin(π/3)+sin(2x)cos(π/3)-cos(2x)sin(π/3)f(x)=2

设函数f(x)=cos(2x+π/3)+sin^2x-1/2

f(x)=cos(2x+π/3)+sin^2x-1/2=cos(2x+π/3)+(1-cos2x)/2-1/2=cos2xcos(π/3)-sin2xsin(π/3)-cos2x*1/2=-√3/2*

设f(x)=2cosx.sin(x+π/3)-根号3 sin平方x+sinx.cosx

f(x)=2cosx*sin(x+π/3)-√3sinx^2+sinx*cosx=2cosx*(sinxcosπ/3+cosxsinπ/3))-√3sinx^2+sinx*cosx=sinxcosx+

已知函数f(x)=根号3(sin平方x-cos平方x)-2sinxcosx (1)求f(x)的最小正周期 (2)设X属于

f(x)=-根号3cos2X-sin2x=-2(根号3/2cos2x+1/2sin2x)=-2sin(2x+π/3)(1).T=2π/w=π(2).由X属于[-π/3,π/3]得2x+π/3∈【-π/

设f(x)=sinП /6x,f(1)+f(2)+f(3)+`````+f(2006)的值为( )

找规律啊f(1)=1/2f(2)=(根号3)/2f(3)=1f(4)=(根号3)/2f(5)=1/2f(6)=0f(7)=-1/2f(8)=-(根号3)/2f(9)=-1f(10)=-(根号3)/2f

已知函数f(x)=sin2(x+π )+根号3sin(x+π )sin(π -x)-1 \2,求f(x)的最小正周期和f

f(x)=sin2(x+π)+根号3sin(x+π)sin(π-x)-1\2=sin2x-根号3sin²x-1/2=sin2x+根号3/2cos2x-1=根号7/2sin(2x+γ)-1co

设函数f(x)sin(x+π/3)+2sin(x+π/3)-根号3cos(2π/3-x) (1)求f(π/6),f(π/

题目是f(x=sin(x+π/3)+2sin(x+π/3)-√3cos(2π/3-x)!再问:设函数f(x)=sin(x+π/3)+2sin(x+π/3)-根号3cos(2π/3-x)再答:f(x)=

设f=[sin(2/x)]=1+cosx,求f(x),f[cos(2/x)].

cosx=1-2(sinx/2)^2f=[sin(2/x)]=1+cosx=2-2(sinx/2)^2f(x)=2-2x^2f[cos(2/x)]=2-2[cos(2/x)]^2

设f(x)=根号1-x化简f(sin2)+f(sin(-2))

1、f(sin2)+f(sin(-2))=√(1-sin2)+√[1-sin(-2)]=√(1-sin2)+√(1+sin2)1-sin2=(sin1)^2+(cos1)^2-2sin1cos1=(s

设函数f(x)=(sinθ/3)x^3+((根号3)cosθ/2)x^2+tanθ,则f'(π/4)=

f'(x)=(sinθ)x^2+((根号3)cosθ)x+tanθf'(π/4)=(sinθ)(π^2)/16+[(根号3)*(π/4)*cosθ]+tanθ题目很阴险啊,想让别人把θ和x弄混.

设函数f(x)=a*b,其中向量a=(2cos x,1),b=(cos x,根号3 sin 2x),x属于(-30,30

a·b=(2cosx,1)·(cosx,sqrt(3)sin2x)=2cosx^2+sqrt(3)sin2x=sqrt(3)sin2x+cos2x+1=2sin(2x+π/6)+1,故:f(x)=2s

函数f(x)=负根号3sin ^2x+sin x cos x f(a/2)=1/4-根号3/2求sin a值

函数f(x)=负根号3sin^2x+sinxcosx应该没^这个符号的吧?如果是没有的话f(x)=负根号3sin2x+sinxcosx=负根号3sin2x+sin2x=(1/2-3^(1/2))sin

设函数f(x)=a*b,其中向量a=(2cos x,1),b=(cos x,根号3 sin 2x),x属于R.

1)因为f(x)=2cosx^2+根号3sin2x=1+2sin(2x+pi/6),所以最小周期T=pi.2)f(A)=2,且A大于0小于pi,所以A=pi/3,也就是60度,有A的余弦定理得b^2+

设函数f(x)=2cosxsin(x+π/3)-根号3sin^2x+sinxcosx,x属于[0,π/2],求f(x)的

f(x)=2cosxsin(x+π/3)-√3sin²x+sinxcosx=2cosx[sinxcos(π/3)+cosxsin(π/3)]-√3sin²x+sinxcosx=2c

已知函数f(x)=-根号3sin^2x+sinxcosx (1)求f((23π)/6) (2)设x属于(0,π),求f(

f(x)=-根号3sin^2x+sinxcosx=-√3/2(1-cos2x)+1/2sin2x=√3/2cos2x+1/2sin2x-√3/2=sin(2x+π/3)-√3/2(1)f((23π)/