根号三sinx cosx的最值

f(x)=2(1-cos2x)/2+√3(sin2x)+1=√3sin2x-cos2x+2=2sin2xcosπ/6-2cos2xsinπ/6+2=2(sin2xcosπ/6-cos2xsinπ/6)

原式=5/2*sin2x-5√3(1+cos2x)/2+5√3/2=5*(sin2x*1/2-cos2x*√3/2)-5√3/2+5√3/2=5(sin2xcosπ/3-cos2xsinπ/3)=5s

f(x)=2sin平方x-根号3sinxcosx+cos平方x=1-cos2x-√3/2sin2x+1/2(cos2x+1)=1-cos2x-√3/2sin2x+1/2cos2x+1/2=3/2-1/

公式cos2x=1-2sin²x,可以知道sin²x=(1-cos2x)/2后面的√3sinxcosx=√3sin2x/2所以原式=-(cos2x)/2+(√3sin2x)/2+1

再答：再答：再问：谢谢啦

f(x)=cos2x+√3sin2x+1=2(sin2x*√3/2+cos2x*1/2)+1=2(sin2xcosπ/6+cos2xsinπ/6)+1=2sin(2x+π/6)+1所以T=2π/2=π

f(x)=(1-cos2x)/2+(√3/2)sin2x+1/2=(√3/2)sin2x-(1/2)cos2x+1=sin(2x-π/6)+1（1）最小正周期T=2π/2=π（2）f(x)max=2,

用二倍角公式啦(cosx)^2=(1+cos(2x))/2根号(3)sinxcosx=根号(3)/2*sin(2x)所以f(x)=1/2*cos(2x)+根号(3)/2*sin(2x)+3/2Sin(

首先化简一下函数表达式y=根号3（sinxcosx）-cosx的平方y=2cosx(sinxcos30°－cosxsin30°)y=2cosxsin(x-30°)求导有y'=2[-sinxsin(x-

sinxcosx=1/2sin2xcos²x=1/2(1+cos2x)所以原式=1/2sin2x+√3/2(1+cos2x)-√3/2=1/2sin2x+√3/2cos2x=sin(2x+6

y=sinx+cosx+sinxcosx+1y'=cosx-sinx-(sinx)^2+(cosx)^2=(cosx+1/2)^2-(sinx+1/2)^2=(cosx+sinx+1)(cosx-si

f(x)=(12)sin2x＋√3cos²x=(1/2)sin2x＋(√3/2)[1＋cos2x]=(1/2)sin2x＋(√3/2)cos2x＋(√3/2)=sin(2x＋π/3)＋(√3

原式=sin2x/2+cosx^2根号3=1/2sin2x+根号3/2+根号3/2*cos2x=sin（2x+π/3)+根号3/2因为T=2π/ww=2所以T=π所以最小正周期为π

(sinX+cosX)平方=2所以sinX平方+cosX平方+2sinXcosX=2因为sinX平方+cosX平方=1所以sinXcosX=0.5

解原式=2cosx(sinx*1/2+cosx√3/2)-√3sin²x+sinxcosx=cosxsinx+√3cos²x-√3sin²x+sinxcosx=2sinx

二倍角公式

f（x）=√3cos²x+sinxcosx-√3/2=√3(cos2x+1)/2+sin2x/2-√3/2=√3/2cos2x+√3/2+1/2sin2x-√3/2=1/2sin2x+√3/

cos(A-C)-cos(A+C),cosAcosC+sinAsinC-(cosAcosC-sinAsinC)=2sinAsinC=2sinB所以sinAsinC=sinBf(C)=2sin(2C+π

f(x)=根号3sinxcosx+(cosx)^2=(√3/2)sin2x+(1+cos2x)/2=sin2xcos(π/6)+cos2xsin(π/6)+1/2=sin(2x+π/6)+1/2x∈（