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已知函数Fx=2Cosxsin(x加三分之派)%根号三sin平...

2018-03-13 已知函数fx=sin(二分之派-x)sinx-根号3cosx... 26 2016-05-08 已知函数fx等于cos2分...

fx=2cosxsin(x+π/3)-√3sin^2x+sinxcosx+1 =2cosx(√3/2cosx+1/2sinx)-√3sin^2x+sinxcosx+1 =√3cos^2x-√3sin^2x+2sinxcosx+1 =√3cos2x+sin2x+1 =2(√3/2cos2x+1/2sin2x)+1 =2sin(2x+π/3)+1 T=2π/2=π

f(x) = sin(π/2-x)sinx - √3cos²x = cosxsinx - √3cos²x = 1/2sin2x - √3/2cos2x - √3/2 = sin2xcosπ/3-cos2xsinπ/3 - √3/2 = sin(2x-π/3) - √3/2 最小正周期:2π/2 = π 最大值:1 - √3/2 = (2-√3)/2

f(x)=4cosxsinx-4sin(x +派/3)cosx +根号3 =2sin2x-4(1/2*sinx+根号3/2*cosx)cosx+根号3 =2sin2x-(2sin2x+2根号3cos平方x)+根号3 =根号3-2根号3cos平方x

1.F{x}=2sin{2x+∏/3} 当函数f(x)的单调递减区间时∏/2 + +2k∏《2x++∏/3《3∏/2 +2k∏〈k取任意整数〉,解的∏/12 + k∏〈x〈7∏/12 +k∏ 2。将函数f(x)的图象按向量a=(m,0) 平移 可设 平移后 函数中的x为x” Y为y” x”=x+m Y”=y 所以 平移后的 函数...

因为:函数f(x)=2cosx·sin(x+π/3)-√3(sinx)^2+sinx·cosx =2cosx·sin(x+∏/3)-√3(sinx)^2+sinx·cosx =2cosx·sinx·cos∏/3+2cosx·cosx·sin∏/3-√3(sinx)^2+sinx·cosx =cosx·sinx+√3(cosx)^2-√3(sinx)^2+sinx·cosx =2cosx·sinx+√3cos2x =sin2x+√3cos2...

供参考。

f(x)=√3/2sin2x-(cosx)²-½ =√3/2sin2x-1/2cos2x-1 =sin(2x-π/6)-1 T=2π/2=π 2x-π/6在[2kπ+π/2,2kπ+3π/2]是调递减 x在[kπ+π/3,kπ+5π/6]是调递减

f(x)=cosxsin(x+π/6)-cos2x-1/4, =cosx(√3/2sinx+1/2cosx)-cos2x-1/4, =√3/2sinxcosx+1/2(cosx)^2-cos2x-1/4, =√3/4sin2x+1/4(1+cos2x)-cos2x-1/4, =√3/4sin2x-3/4cos2x =√3/2(1/2sin2x-√3/2cos2x) =√3/2sin(2x-π/3) 2x-π/3∈[2kπ-π/2,2kπ+π/2]单...

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