函数y=根号2sin(2xd-π)cos[2(x π)}
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定义域需满足:sinx-√3/2>=0,即sinx>=√3/2,得:2kπ+π/3=
由题意可得sin(2x+π/6)
这个,我做的可能有点复杂.根号2sin(x-π/4)=sinx-cosx=t,t范围【-1,根号2】据sin²x+cos²x=1,得到.(sinx-cosx)²=1-2s
答案是这个,再问:具体过程再答:久等了~公式难打~若满意请采纳~
y=(√3/2)sin(x+π/2)+cos(π/6-x)=(√3/2)cosx+cos(π/6)cosx+sin(π/6)sinx=(√3/2)cosx+(√3/2)cosx+(1/2)sinx=√
把函数y=√[sin(π/3-2x)]看成y=√u(u≥0),u=sinv,v=π/3-2x的复合函数,√u是增函数,v=π/3-2x是减函数,∴y递增sinv递减,y的增区间由(2k+1/2)π
2sin(x+π/4)+1≥0sin(x+π/4)≥-1/22kπ-π/6≤x+π/4≤2kπ+7π/62kπ-5π/12≤x≤2kπ+11π/12[2kπ-5π/12,2kπ+11π/12],k∈Z
y=2cosxsin(x+π/3)-根号3*(sin^2)x+sinxcosx,后两项先提出一个sinx,然后括号内部分用叠加原理,得到y=2cosxsin(x+π/3)+2sinxcos(x+π/3
(1)原式=2[(1/2)sin(x/2)+(根号3/2)cos(x/2)]=2sin[(x/2)+pi/3]所以当[(x/2)+pi/3]=2kpi+pi/2时,y最大值为2解得x=4kpi+pi/
y=1/根号下1-sin^2x=1/根号下cos²xcos²x≠0x≠kπ+π/2
是求两个函数(1)y=√(sinx)(2)y=√(cosx)的定义域吧还是求(3)y=√sin(cosx)定义域(1)要使y=√(sinx)有意义,须令sinx≥0所以2kπ≤x≤π+2kπ,k∈z即
y=sin²x+√3sinxcosx-1=[1-cos(2x)]/2+(√3/2)sin(2x)-1=(√3/2)sin(2x)-(1/2)cos(2x)-1/2=sin(2x-π/6)-1
y=sin(2x-π/3)+根号3cos2x=sin2xcosπ/3-cos2xsinπ/3+2sinπ/3cos2x=sin2xcosπ/3+cos2xsinπ/3=sin(2x+π/3)1.振幅=
A.Y=X-1是正比例函数B.Y=8/X²,Y是X²的反比例函数C.Y=-1/2X是反比例函数D.Y/X=2...Y=2X是正比例函数所以,选择C
y=√(-2sin^2x+sinx)-2sin^2x+sinx≥0,0≤sinx≤1/2.2kπ≤x≤2kπ+π/6或2kπ+5π/6≤x≤2kπ+π,(k∈Z).所以函数定义域是[2kπ,2kπ+π
由题得:2sinx+1>=0sinx>=-0.52kπ-π/6
3sinx-2sin^2x-1>=0令sinx=tt范围为[-1,1]3t-2t^2-1>=0所以(t-1/2)(t-1)
∵-1≤cosx≤1,所以2-cosx恒≥1∴原式可化为√3sinx=2Y-cosxY===>√3sinx+cosxY=2Y三角代换:sin(x+a)=2Y/√(3+y²)∴-1≤2Y/√(
2sin(x+π/4)+1>=0sin(x+π/4)>=-1/2-π/3+2kπ