f(x)=根号3sinxcosx+cosx^2,f(x)=1-根号3/2,求x

来源：学生作业帮助网编辑：作业帮时间：2024/05/07 05:14:05

f(x)=根号3sinxcosx+cosx^2,f(x)=1-根号3/2,求x
f(x)=根号3sinxcosx+cosx^2,f(x)=1-根号3/2,求x

f(x)=根号3sinxcosx+cosx^2,f(x)=1-根号3/2,求x
f(x)=√3sinxcosx+cosx^2
=√3/2sin2x+(1+cos2x)/2
=√3/2sin2x+cos2x/2+1/2
=sin2xcosπ/6+cos2xsinπ/6+1/2
=sin(2x+π/6)+1/2
sin(2x+π/6)+1/2=(1-√3)/2
sin(2x+π/6)=-√3/2
2x+π/6=2kπ-π/3或2x+π/6=2kπ+4π/3
2x=2kπ-π/2或2x=2kπ+7π/6
x=kπ-π/4或x=kπ+7π/12

上面的会打的不错哦，我们信仰信春哥

若函数f(x)=sinxcosx+根号3cos平方X-根号3/2如题已知函数f(x)=sinxcosx-根号3cos^2x-根号3 已知函数f(X)=2根号3cos平方x-2sinxcosx-根号3 f(x)=2根号3cos^2(x)-2sinxcosx-根号3,求最值已知f(x)=cos^4x-2根号3sinxcosx-sin^4x 化简化解三角函数F（x)=sin平方x+根号3sinxcosx+2cos平方x 求函数f(x)=根号3cos^2x+sinxcosx的值域和周期求函数f(x)=（根号3）cos^2x+sinxcosx的值域和周期 f(x)=2根号3sinxcosx+2cos²x+m,化简, f(X)=6cos^2x+根号3sinxcosx化简! 求函数f(x)=5根号3cos^2x 根号3sin^2x-4sinxcosx(兀/4前面是f(x)=5根号3cos^2x加根号3sin^2x减4sinxcosx 已知函数f(x)=2根号3sinXcosX+2cos^2X-1求f(x)单调增区间已知f(x)=二分之一cos2x+根号3sinxcosx-2cos的平方x,求f(x)的最大值求,函数f(x)=3sinxcosx-3根号3cos^2x+3根号3的周期,值域已知函数f(x)=根号3cos^2x-根号3sin^2+2sinxcosx化简函数f(x)=sinxcosx+根号3cos^2x-根号3/2最小正周期最大值增区间已知f(x)=2sinxcosx+2根号3cos平方X-1-根号3. 求周期和递增区间化简根号3sinXcosX+cos*2X