f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ​f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ

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f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ​f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ

f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ​f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ
f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ​
f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ

f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ​f(x)=3/2根号3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4 若f(X)=4/5(0＜θ＜π/2)求sin2θ
f(x)=3/2√3sinx*cosx+cos^2(x-π/6)-3/2sin^2x+1/4
=3√3/4sin2x+1/2(1+cos(2x-π/3)-3/4(1-cos2x)+1/4
=3√3/4sin2x+1/2cos(2x-π/3)+3/4cos2x
=3√3/4sin2x+1/4cos2x+√3/4sin2x+3/4cos2x
=√3sin2x+cos2x
=2(√3/2sin2x+1/2cos2x)
=2sin(2x+π/6)
f(θ)=2sin(2θ+π/6)=4/5
sin(2θ+π/6)=2/5
0＜θ＜π/2,π/6＜2θ+π/6＜7π/6
cos(2θ+π/6)=√21/5或cos(2θ+π/6)=-√21/5
sin2θ=sin[(2θ+π/6)-π/6]=√3/2sin(2θ+π/6)-1/2cos(2θ+π/6)
=√3/2*2/5-1/2*√21/5=(2√3-√21)/10或
sin2θ=√3/2*2/5+1/2*√21/5=(2√3+√21)/10
即sin2θ=(2√3-√21)/10或sin2θ=(2√3+√21)/10

已知向量m=(2sinx,cosx-sinx),n=(根号3cosx,cosx+sinx),F(x)=m.n f(x)=根号3cosx+sinx(-pai/2 f（x）=2cosx/2(根号3sinx/2+cosx/2)-1求大神 f(x)=2cosx(根号3sinx-cosx)+1化简 f（x）=2cosx(cosx+根号3sinx)-1化简 求f(x)=(sinx-1)/根号下3-2cosx-2sinx （0 f(x)=sinx+根号3cosx=? 函数f(x)=根号3cosx-sinx(0 f(x)=(sinx+根号3)/cosx的值域 函数f(x)=根号3sinx-cosx的最小值 f(x)=sinx+根号3cosx的值域是? f(x)=cosx-根号3sinx单调递减区间 f[x=]根号3sinx+cosx最小正周期f(x)=根号3sinx+cosx最小正周期 f(x)=4sinx(sinx-根号3cosx)-3,x∈[0,π/2],求f（x）值域 已知函数f(x)=2cosx(cosx+根号3sinx）求f(x)的值域.急 函数f(x)=根号下sinx-cosx+lg(-x平方-2x+3)的定义域 f（x）=sinx*cosx+根号3*（cosx）^2-根号3/2 （1）最小正周期 f（x）=sinx*cosx+根号3*（cosx）^2-根号3/2 （1）最小正周期