cos*=√3_1 2√2

6左下角的火柴挪到右上,把6变成9

sinα-cosα=(√2)/3平方可得(sinα)^2+(cosα)^2-2sinαcosα=4/9因为(sinα)^2+(cosα)^2=1所以可知2sinαcosα=1-4/9=5/9所以(si

f(x)=2sin(2wx-π/6)+λw=1/3+k/2(k=0,+_1.)w=5/6f(x)=2sin(5/3x-π/6)+λ(1)T=6π/5(2)f(x)=2sin(5/3x-π/6)-根号2

f(x)=2sin(x/4)cos(x/4)+(√3)cos(x/2)=sin(x/2)+(√3)cos(x/2)=2sin(x/2+π/3)T=4π最大值2最小值-2（2）令g(x)=f(x+π/3

∵sinθ+cosθ=√2/3∴（sinθ+cosθ）²=2/9sin²θ+2sinθcosθ+cos²θ=2/9∵sin²θ+cos²θ=1∴1+2

两倍角公式2cos²x=cos2x+12sinxcosx=sin2xf(x)=-4cos²x+4√(3)sinxcosx+5=-2(cos2x+1)+2√3sin2x+5=2√3s

sin(5∏-a)=√2cos(3∏／2+b)√3cos(-a)=-√2cos(∏+b),即sina=√2sinb√3cosa=√2cosb,即sina^2+3cosa^2=2cosa^2=1/2co

分子（1+sinα+cosα）（sinα／2-cosα／2）=[2（cosα/2）^2+2sinα/2*cosα/2]（sinα／2-cosα／2）=2cosα/2(sinα／2+cosα／2)(si

f(x)=√3·(cosωx)^2+sinωx·cosωx+a=√3(cos2ωx+1)/2+sin2ωx/2+a=√3cosωx/2+sin2ωx/2+√3/2+a=sin(wx+π/3)+√3/2

sin(3π-a)=√2cos(1.5π+β),√3cos(-a)=-√2cos(π+β),且0

等号两边同时平方,然后相加sin²α+3cos²α=2sin²β+2cos²β化简1+2cos²α=2cos²α=1/2已知α范围所以α=π

且α

(1)f（x）=mn=(cosα+sinα)(cosα-sinα)+2√3sinαcosα=cos2α+√3sin2α=2[sin2α·cosπ/6+cos2α·sinπ/6]=2sin（2α+π/6

两边乘以根号二就可以了.等于四分之三根号二.再问：哦！谢谢！

f(x)=2cos²ωx+(2√3)cosωxsinωx=1+cos2wx+√3sin2wx=2(√3/2*sin2wx+1/2*cos2wx)+1=2sin(2wx+π/6)+1∵直线x=

f(x)=2√3sinxcosx-2cos(x+π/4)cos(x-π/4)=√3sin2x+2sin(x+π/4-π/2)cos(x-π/4)=√3sin2x+sin(2x-π/2)=√3sin2x

y=2sinθ+√3cosθsinφ-cosθcosφ=2sinθ+2cosθ(√3sinφ/2-cosφ/2)=2sinθ+2cosθsin(φ-30)=2sinθ+2cosθsina=√(4+4s

sinθ+√3cosθ=2cos(θ-φ)=>2sin(θ+π/3)=2cos(θ-φ)=>sin(θ+π/3)=cos(φ-θ)=>(θ+π/3)+(φ-θ)=2kπ+π/2=>φ=2kπ+π/2-

0.5.括号里为60度.

f(x)=2cos(x+π/3)[sin(x+π/3)-√3cos(x+π/3)]=4cos(x+π/3)[1/2sin(x+π/3)-√3/2cos(x+π/3)]=4cos(x+π/3)[sin(